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Finding the Fourth Proportional to 83,228.13, 124,805.14 and 24,049.73

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Solution

The fourth proportional to 83,228.13, 124,805.14 and 24,049.73 is: 36,063.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,228.13 : 124,805.14 = 24,049.73 : x
  2. Step 2: Convert to fraction form
    83,228.13/124,805.14 = 24,049.73/x
  3. Step 3: Cross multiply
    83,228.13x = 124,805.14 × 24,049.73
  4. Step 4: Simplify right side
    83,228.13x = 3,001,530,171.50
  5. Step 5: Solve for x
    x = 3,001,530,171.50/83,228.13
  6. Step 6: Final answer
    x = 36,063.89

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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.