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Finding the Fourth Proportional to 83,753.67, 125,649.94 and 27,591.77

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Solution

The fourth proportional to 83,753.67, 125,649.94 and 27,591.77 is: 41,394.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,753.67 : 125,649.94 = 27,591.77 : x
  2. Step 2: Convert to fraction form
    83,753.67/125,649.94 = 27,591.77/x
  3. Step 3: Cross multiply
    83,753.67x = 125,649.94 × 27,591.77
  4. Step 4: Simplify right side
    83,753.67x = 3,466,904,244.99
  5. Step 5: Solve for x
    x = 3,466,904,244.99/83,753.67
  6. Step 6: Final answer
    x = 41,394.06

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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.