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Finding the Fourth Proportional to 83,769.73, 125,654.34 and 33,849.25

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Solution

The fourth proportional to 83,769.73, 125,654.34 and 33,849.25 is: 50,773.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,769.73 : 125,654.34 = 33,849.25 : x
  2. Step 2: Convert to fraction form
    83,769.73/125,654.34 = 33,849.25/x
  3. Step 3: Cross multiply
    83,769.73x = 125,654.34 × 33,849.25
  4. Step 4: Simplify right side
    83,769.73x = 4,253,305,168.25
  5. Step 5: Solve for x
    x = 4,253,305,168.25/83,769.73
  6. Step 6: Final answer
    x = 50,773.77

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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.