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Finding the Fourth Proportional to 83,892.84, 125,839.13 and 57,517.62

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Solution

The fourth proportional to 83,892.84, 125,839.13 and 57,517.62 is: 86,276.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,892.84 : 125,839.13 = 57,517.62 : x
  2. Step 2: Convert to fraction form
    83,892.84/125,839.13 = 57,517.62/x
  3. Step 3: Cross multiply
    83,892.84x = 125,839.13 × 57,517.62
  4. Step 4: Simplify right side
    83,892.84x = 7,237,966,972.88
  5. Step 5: Solve for x
    x = 7,237,966,972.88/83,892.84
  6. Step 6: Final answer
    x = 86,276.34

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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.