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Finding the Fourth Proportional to 90,231.60, 135,321.12 and 27,049.20

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Solution

The fourth proportional to 90,231.60, 135,321.12 and 27,049.20 is: 40,565.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,231.60 : 135,321.12 = 27,049.20 : x
  2. Step 2: Convert to fraction form
    90,231.60/135,321.12 = 27,049.20/x
  3. Step 3: Cross multiply
    90,231.60x = 135,321.12 × 27,049.20
  4. Step 4: Simplify right side
    90,231.60x = 3,660,328,039.10
  5. Step 5: Solve for x
    x = 3,660,328,039.10/90,231.60
  6. Step 6: Final answer
    x = 40,565.92

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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.