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Finding the Fourth Proportional to 32,204.44, 48,304.98 and 10,016.20

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Solution

The fourth proportional to 32,204.44, 48,304.98 and 10,016.20 is: 15,023.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,204.44 : 48,304.98 = 10,016.20 : x
  2. Step 2: Convert to fraction form
    32,204.44/48,304.98 = 10,016.20/x
  3. Step 3: Cross multiply
    32,204.44x = 48,304.98 × 10,016.20
  4. Step 4: Simplify right side
    32,204.44x = 483,832,340.68
  5. Step 5: Solve for x
    x = 483,832,340.68/32,204.44
  6. Step 6: Final answer
    x = 15,023.78

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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.