Finding the Fourth Proportional to 106,944.26, 160,416.40 and 33,072.26
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Solution
The fourth proportional to 106,944.26, 160,416.40 and 33,072.26 is: 49,608.39
Step by Step Solution
- Step 1: Write the proportion equation
106,944.26 : 160,416.40 = 33,072.26 : x - Step 2: Convert to fraction form
106,944.26/160,416.40 = 33,072.26/x - Step 3: Cross multiply
106,944.26x = 160,416.40 × 33,072.26 - Step 4: Simplify right side
106,944.26x = 5,305,332,889.06 - Step 5: Solve for x
x = 5,305,332,889.06/106,944.26 - Step 6: Final answer
x = 49,608.39
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.