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Finding the Fourth Proportional to 83,229.35, 124,844.90 and 24,065.53

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Solution

The fourth proportional to 83,229.35, 124,844.90 and 24,065.53 is: 36,098.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,229.35 : 124,844.90 = 24,065.53 : x
  2. Step 2: Convert to fraction form
    83,229.35/124,844.90 = 24,065.53/x
  3. Step 3: Cross multiply
    83,229.35x = 124,844.90 × 24,065.53
  4. Step 4: Simplify right side
    83,229.35x = 3,004,458,253.86
  5. Step 5: Solve for x
    x = 3,004,458,253.86/83,229.35
  6. Step 6: Final answer
    x = 36,098.54

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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.