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Finding the Fourth Proportional to 83,624.49, 125,401.35 and 33,691.17

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Solution

The fourth proportional to 83,624.49, 125,401.35 and 33,691.17 is: 50,522.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,624.49 : 125,401.35 = 33,691.17 : x
  2. Step 2: Convert to fraction form
    83,624.49/125,401.35 = 33,691.17/x
  3. Step 3: Cross multiply
    83,624.49x = 125,401.35 × 33,691.17
  4. Step 4: Simplify right side
    83,624.49x = 4,224,918,201.08
  5. Step 5: Solve for x
    x = 4,224,918,201.08/83,624.49
  6. Step 6: Final answer
    x = 50,522.50

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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.