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Finding the Fourth Proportional to 83,588.17, 125,414.25 and 50,332

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Solution

The fourth proportional to 83,588.17, 125,414.25 and 50,332 is: 75,517.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,588.17 : 125,414.25 = 50,332 : x
  2. Step 2: Convert to fraction form
    83,588.17/125,414.25 = 50,332/x
  3. Step 3: Cross multiply
    83,588.17x = 125,414.25 × 50,332
  4. Step 4: Simplify right side
    83,588.17x = 6,312,350,031
  5. Step 5: Solve for x
    x = 6,312,350,031/83,588.17
  6. Step 6: Final answer
    x = 75,517.27

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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.