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Finding the Fourth Proportional to 80,540.96, 111,017.28 and 54,691.40

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Solution

The fourth proportional to 80,540.96, 111,017.28 and 54,691.40 is: 75,386.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,540.96 : 111,017.28 = 54,691.40 : x
  2. Step 2: Convert to fraction form
    80,540.96/111,017.28 = 54,691.40/x
  3. Step 3: Cross multiply
    80,540.96x = 111,017.28 × 54,691.40
  4. Step 4: Simplify right side
    80,540.96x = 6,071,690,467.39
  5. Step 5: Solve for x
    x = 6,071,690,467.39/80,540.96
  6. Step 6: Final answer
    x = 75,386.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.