Finding the Fourth Proportional to 105,232.05, 157,744.17 and 42,014.09
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Solution
The fourth proportional to 105,232.05, 157,744.17 and 42,014.09 is: 62,979.64
Step by Step Solution
- Step 1: Write the proportion equation
105,232.05 : 157,744.17 = 42,014.09 : x - Step 2: Convert to fraction form
105,232.05/157,744.17 = 42,014.09/x - Step 3: Cross multiply
105,232.05x = 157,744.17 × 42,014.09 - Step 4: Simplify right side
105,232.05x = 6,627,476,966.63 - Step 5: Solve for x
x = 6,627,476,966.63/105,232.05 - Step 6: Final answer
x = 62,979.64
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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.