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Finding the Fourth Proportional to 32,067.36, 48,091.92 and 12,331.44

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Solution

The fourth proportional to 32,067.36, 48,091.92 and 12,331.44 is: 18,493.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,067.36 : 48,091.92 = 12,331.44 : x
  2. Step 2: Convert to fraction form
    32,067.36/48,091.92 = 12,331.44/x
  3. Step 3: Cross multiply
    32,067.36x = 48,091.92 × 12,331.44
  4. Step 4: Simplify right side
    32,067.36x = 593,042,625.96
  5. Step 5: Solve for x
    x = 593,042,625.96/32,067.36
  6. Step 6: Final answer
    x = 18,493.65

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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.