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Finding the Fourth Proportional to 65,086.20, 89,819.82 and 36,792

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Solution

The fourth proportional to 65,086.20, 89,819.82 and 36,792 is: 50,773.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,086.20 : 89,819.82 = 36,792 : x
  2. Step 2: Convert to fraction form
    65,086.20/89,819.82 = 36,792/x
  3. Step 3: Cross multiply
    65,086.20x = 89,819.82 × 36,792
  4. Step 4: Simplify right side
    65,086.20x = 3,304,650,817.44
  5. Step 5: Solve for x
    x = 3,304,650,817.44/65,086.20
  6. Step 6: Final answer
    x = 50,773.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.