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Finding the Fourth Proportional to 83,428.38, 125,132.85 and 33,506.46

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Solution

The fourth proportional to 83,428.38, 125,132.85 and 33,506.46 is: 50,255.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,428.38 : 125,132.85 = 33,506.46 : x
  2. Step 2: Convert to fraction form
    83,428.38/125,132.85 = 33,506.46/x
  3. Step 3: Cross multiply
    83,428.38x = 125,132.85 × 33,506.46
  4. Step 4: Simplify right side
    83,428.38x = 4,192,758,833.21
  5. Step 5: Solve for x
    x = 4,192,758,833.21/83,428.38
  6. Step 6: Final answer
    x = 50,255.79

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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.