Can I use one ground as a reference for multiple inputs?

Grumpy_Mike:
Good advice but this bit is wrong.

but you do want to make sure will always be below 40 mA before feeding it into an Arduino

That current is the current limits when the arduino pins are outputs.

They are only one wire, and carry no power that I know of,

Yes they do, one end is connected to 12V, the other end of your resistor must be connected to ground.
Split the resistor in two, have one going from ground to the arduino input, the other going from the arduino input to the sensor. Make sure thar you do not exceed 5V at the arduino by choosing the resistor values correctly.

Mike,

From my experience (see: Race cars), The gauges are simply voltage dividers. IE the fuel sender an be some wonky value like 180 to 110 ohms, with, say, a 110 in the gauge itself. It just performs math on how many volts are being divided where.

That said, I don't know if there is a safe way to tap the sender wires without upsetting the voltage divider and it's programming inside the gauge.