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Finding the Fourth Proportional to 82,468.67, 123,715.17 and 29,865.87

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Solution

The fourth proportional to 82,468.67, 123,715.17 and 29,865.87 is: 44,803.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,468.67 : 123,715.17 = 29,865.87 : x
  2. Step 2: Convert to fraction form
    82,468.67/123,715.17 = 29,865.87/x
  3. Step 3: Cross multiply
    82,468.67x = 123,715.17 × 29,865.87
  4. Step 4: Simplify right side
    82,468.67x = 3,694,861,184.25
  5. Step 5: Solve for x
    x = 3,694,861,184.25/82,468.67
  6. Step 6: Final answer
    x = 44,803.21

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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.