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Finding the Fourth Proportional to 83,238.42, 124,876.28 and 24,078.66

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Solution

The fourth proportional to 83,238.42, 124,876.28 and 24,078.66 is: 36,123.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,238.42 : 124,876.28 = 24,078.66 : x
  2. Step 2: Convert to fraction form
    83,238.42/124,876.28 = 24,078.66/x
  3. Step 3: Cross multiply
    83,238.42x = 124,876.28 × 24,078.66
  4. Step 4: Simplify right side
    83,238.42x = 3,006,853,488.18
  5. Step 5: Solve for x
    x = 3,006,853,488.18/83,238.42
  6. Step 6: Final answer
    x = 36,123.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.