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Finding the Fourth Proportional to 67,046.53, 100,568.24 and 33,757.66

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Solution

The fourth proportional to 67,046.53, 100,568.24 and 33,757.66 is: 50,635.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,046.53 : 100,568.24 = 33,757.66 : x
  2. Step 2: Convert to fraction form
    67,046.53/100,568.24 = 33,757.66/x
  3. Step 3: Cross multiply
    67,046.53x = 100,568.24 × 33,757.66
  4. Step 4: Simplify right side
    67,046.53x = 3,394,948,452.72
  5. Step 5: Solve for x
    x = 3,394,948,452.72/67,046.53
  6. Step 6: Final answer
    x = 50,635.71

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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.