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Finding the Fourth Proportional to 32,233.44, 48,355.92 and 11,451.36

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Solution

The fourth proportional to 32,233.44, 48,355.92 and 11,451.36 is: 17,179.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,233.44 : 48,355.92 = 11,451.36 : x
  2. Step 2: Convert to fraction form
    32,233.44/48,355.92 = 11,451.36/x
  3. Step 3: Cross multiply
    32,233.44x = 48,355.92 × 11,451.36
  4. Step 4: Simplify right side
    32,233.44x = 553,741,048.05
  5. Step 5: Solve for x
    x = 553,741,048.05/32,233.44
  6. Step 6: Final answer
    x = 17,179.09

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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.