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Finding the Fourth Proportional to 83,187.74, 124,787.99 and 24,023.93

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Solution

The fourth proportional to 83,187.74, 124,787.99 and 24,023.93 is: 36,037.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,187.74 : 124,787.99 = 24,023.93 : x
  2. Step 2: Convert to fraction form
    83,187.74/124,787.99 = 24,023.93/x
  3. Step 3: Cross multiply
    83,187.74x = 124,787.99 × 24,023.93
  4. Step 4: Simplify right side
    83,187.74x = 2,997,897,372.72
  5. Step 5: Solve for x
    x = 2,997,897,372.72/83,187.74
  6. Step 6: Final answer
    x = 36,037.73

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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.