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Finding the Fourth Proportional to 129,057.50, 193,593.54 and 45,951.50

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Solution

The fourth proportional to 129,057.50, 193,593.54 and 45,951.50 is: 68,929.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,057.50 : 193,593.54 = 45,951.50 : x
  2. Step 2: Convert to fraction form
    129,057.50/193,593.54 = 45,951.50/x
  3. Step 3: Cross multiply
    129,057.50x = 193,593.54 × 45,951.50
  4. Step 4: Simplify right side
    129,057.50x = 8,895,913,553.31
  5. Step 5: Solve for x
    x = 8,895,913,553.31/129,057.50
  6. Step 6: Final answer
    x = 68,929.85

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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.