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Finding the Fourth Proportional to 80,265.96, 120,396.24 and 38,166.48

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Solution

The fourth proportional to 80,265.96, 120,396.24 and 38,166.48 is: 57,248.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,265.96 : 120,396.24 = 38,166.48 : x
  2. Step 2: Convert to fraction form
    80,265.96/120,396.24 = 38,166.48/x
  3. Step 3: Cross multiply
    80,265.96x = 120,396.24 × 38,166.48
  4. Step 4: Simplify right side
    80,265.96x = 4,595,100,686.04
  5. Step 5: Solve for x
    x = 4,595,100,686.04/80,265.96
  6. Step 6: Final answer
    x = 57,248.44

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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.