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Finding the Fourth Proportional to 83,173.50, 124,761.33 and 27,769.50

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Solution

The fourth proportional to 83,173.50, 124,761.33 and 27,769.50 is: 41,654.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,173.50 : 124,761.33 = 27,769.50 : x
  2. Step 2: Convert to fraction form
    83,173.50/124,761.33 = 27,769.50/x
  3. Step 3: Cross multiply
    83,173.50x = 124,761.33 × 27,769.50
  4. Step 4: Simplify right side
    83,173.50x = 3,464,559,753.44
  5. Step 5: Solve for x
    x = 3,464,559,753.44/83,173.50
  6. Step 6: Final answer
    x = 41,654.61

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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.