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Finding the Fourth Proportional to 83,227.70, 124,821.30 and 24,057.20

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Solution

The fourth proportional to 83,227.70, 124,821.30 and 24,057.20 is: 36,079.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,227.70 : 124,821.30 = 24,057.20 : x
  2. Step 2: Convert to fraction form
    83,227.70/124,821.30 = 24,057.20/x
  3. Step 3: Cross multiply
    83,227.70x = 124,821.30 × 24,057.20
  4. Step 4: Simplify right side
    83,227.70x = 3,002,850,978.36
  5. Step 5: Solve for x
    x = 3,002,850,978.36/83,227.70
  6. Step 6: Final answer
    x = 36,079.95

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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.