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Finding the Fourth Proportional to 83,732.90, 125,562.90 and 27,551.30

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Solution

The fourth proportional to 83,732.90, 125,562.90 and 27,551.30 is: 41,314.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,732.90 : 125,562.90 = 27,551.30 : x
  2. Step 2: Convert to fraction form
    83,732.90/125,562.90 = 27,551.30/x
  3. Step 3: Cross multiply
    83,732.90x = 125,562.90 × 27,551.30
  4. Step 4: Simplify right side
    83,732.90x = 3,459,421,126.77
  5. Step 5: Solve for x
    x = 3,459,421,126.77/83,732.90
  6. Step 6: Final answer
    x = 41,314.96

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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.