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Finding the Fourth Proportional to 92,132.56, 138,202.76 and 32,167.06

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Solution

The fourth proportional to 92,132.56, 138,202.76 and 32,167.06 is: 48,251.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,132.56 : 138,202.76 = 32,167.06 : x
  2. Step 2: Convert to fraction form
    92,132.56/138,202.76 = 32,167.06/x
  3. Step 3: Cross multiply
    92,132.56x = 138,202.76 × 32,167.06
  4. Step 4: Simplify right side
    92,132.56x = 4,445,576,473.09
  5. Step 5: Solve for x
    x = 4,445,576,473.09/92,132.56
  6. Step 6: Final answer
    x = 48,251.96

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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.