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Finding the Fourth Proportional to 83,456.31, 125,200.16 and 33,540.27

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Solution

The fourth proportional to 83,456.31, 125,200.16 and 33,540.27 is: 50,316.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,456.31 : 125,200.16 = 33,540.27 : x
  2. Step 2: Convert to fraction form
    83,456.31/125,200.16 = 33,540.27/x
  3. Step 3: Cross multiply
    83,456.31x = 125,200.16 × 33,540.27
  4. Step 4: Simplify right side
    83,456.31x = 4,199,247,170.44
  5. Step 5: Solve for x
    x = 4,199,247,170.44/83,456.31
  6. Step 6: Final answer
    x = 50,316.71

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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.