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Finding the Fourth Proportional to 80,012.80, 120,019.20 and 27,422.80

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Solution

The fourth proportional to 80,012.80, 120,019.20 and 27,422.80 is: 41,134.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,012.80 : 120,019.20 = 27,422.80 : x
  2. Step 2: Convert to fraction form
    80,012.80/120,019.20 = 27,422.80/x
  3. Step 3: Cross multiply
    80,012.80x = 120,019.20 × 27,422.80
  4. Step 4: Simplify right side
    80,012.80x = 3,291,262,517.76
  5. Step 5: Solve for x
    x = 3,291,262,517.76/80,012.80
  6. Step 6: Final answer
    x = 41,134.20

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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.