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Finding the Fourth Proportional to 83,500.82, 125,266.92 and 33,584.78

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Solution

The fourth proportional to 83,500.82, 125,266.92 and 33,584.78 is: 50,383.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,500.82 : 125,266.92 = 33,584.78 : x
  2. Step 2: Convert to fraction form
    83,500.82/125,266.92 = 33,584.78/x
  3. Step 3: Cross multiply
    83,500.82x = 125,266.92 × 33,584.78
  4. Step 4: Simplify right side
    83,500.82x = 4,207,061,949.48
  5. Step 5: Solve for x
    x = 4,207,061,949.48/83,500.82
  6. Step 6: Final answer
    x = 50,383.48

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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.