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Finding the Fourth Proportional to 80,164.49, 120,261.31 and 27,562.28

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Solution

The fourth proportional to 80,164.49, 120,261.31 and 27,562.28 is: 41,348.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,164.49 : 120,261.31 = 27,562.28 : x
  2. Step 2: Convert to fraction form
    80,164.49/120,261.31 = 27,562.28/x
  3. Step 3: Cross multiply
    80,164.49x = 120,261.31 × 27,562.28
  4. Step 4: Simplify right side
    80,164.49x = 3,314,675,229.17
  5. Step 5: Solve for x
    x = 3,314,675,229.17/80,164.49
  6. Step 6: Final answer
    x = 41,348.43

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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.