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Finding the Fourth Proportional to 71,472.48, 107,169.12 and 32,067.36

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Solution

The fourth proportional to 71,472.48, 107,169.12 and 32,067.36 is: 48,083.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,472.48 : 107,169.12 = 32,067.36 : x
  2. Step 2: Convert to fraction form
    71,472.48/107,169.12 = 32,067.36/x
  3. Step 3: Cross multiply
    71,472.48x = 107,169.12 × 32,067.36
  4. Step 4: Simplify right side
    71,472.48x = 3,436,630,751.92
  5. Step 5: Solve for x
    x = 3,436,630,751.92/71,472.48
  6. Step 6: Final answer
    x = 48,083.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.