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Finding the Fourth Proportional to 73,951.92, 102,057.84 and 42,131.16

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Solution

The fourth proportional to 73,951.92, 102,057.84 and 42,131.16 is: 58,143.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,951.92 : 102,057.84 = 42,131.16 : x
  2. Step 2: Convert to fraction form
    73,951.92/102,057.84 = 42,131.16/x
  3. Step 3: Cross multiply
    73,951.92x = 102,057.84 × 42,131.16
  4. Step 4: Simplify right side
    73,951.92x = 4,299,815,186.29
  5. Step 5: Solve for x
    x = 4,299,815,186.29/73,951.92
  6. Step 6: Final answer
    x = 58,143.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.