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Finding the Fourth Proportional to 76,472.87, 114,646.12 and 33,747.86

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Solution

The fourth proportional to 76,472.87, 114,646.12 and 33,747.86 is: 50,593.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,472.87 : 114,646.12 = 33,747.86 : x
  2. Step 2: Convert to fraction form
    76,472.87/114,646.12 = 33,747.86/x
  3. Step 3: Cross multiply
    76,472.87x = 114,646.12 × 33,747.86
  4. Step 4: Simplify right side
    76,472.87x = 3,869,061,409.55
  5. Step 5: Solve for x
    x = 3,869,061,409.55/76,472.87
  6. Step 6: Final answer
    x = 50,593.91

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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.