Over the past 4 hours, 7 inches of snow has fallen. How many total inches will fall over the next 24 hours if the price continues?

If 7 inches of snow fell in the past 4 hours, then the average rate of snowfall is 7 inches / 4 hours = <<7/4=1.75>>1.75 inches per hour.

Over the next 24 hours, at the same rate, the total inches of snow that will fall is 1.75 inches/hour * 24 hours = <<1.75*24=42>>42 inches. Answer: \boxed{42}.