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Finding the Fourth Proportional to 82,480.71, 123,733.17 and 29,877.87

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Solution

The fourth proportional to 82,480.71, 123,733.17 and 29,877.87 is: 44,821.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,480.71 : 123,733.17 = 29,877.87 : x
  2. Step 2: Convert to fraction form
    82,480.71/123,733.17 = 29,877.87/x
  3. Step 3: Cross multiply
    82,480.71x = 123,733.17 × 29,877.87
  4. Step 4: Simplify right side
    82,480.71x = 3,696,883,567.95
  5. Step 5: Solve for x
    x = 3,696,883,567.95/82,480.71
  6. Step 6: Final answer
    x = 44,821.19

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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.