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Finding the Fourth Proportional to 90,221.20, 135,322.08 and 23,668

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Solution

The fourth proportional to 90,221.20, 135,322.08 and 23,668 is: 35,499.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,221.20 : 135,322.08 = 23,668 : x
  2. Step 2: Convert to fraction form
    90,221.20/135,322.08 = 23,668/x
  3. Step 3: Cross multiply
    90,221.20x = 135,322.08 × 23,668
  4. Step 4: Simplify right side
    90,221.20x = 3,202,802,989.44
  5. Step 5: Solve for x
    x = 3,202,802,989.44/90,221.20
  6. Step 6: Final answer
    x = 35,499.45

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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.