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Finding the Fourth Proportional to 32,067.82, 48,109.83 and 13,342.24

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Solution

The fourth proportional to 32,067.82, 48,109.83 and 13,342.24 is: 20,016.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,067.82 : 48,109.83 = 13,342.24 : x
  2. Step 2: Convert to fraction form
    32,067.82/48,109.83 = 13,342.24/x
  3. Step 3: Cross multiply
    32,067.82x = 48,109.83 × 13,342.24
  4. Step 4: Simplify right side
    32,067.82x = 641,892,898.22
  5. Step 5: Solve for x
    x = 641,892,898.22/32,067.82
  6. Step 6: Final answer
    x = 20,016.73

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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.