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Finding the Fourth Proportional to 32,098.80, 48,122.11 and 13,392.77

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Solution

The fourth proportional to 32,098.80, 48,122.11 and 13,392.77 is: 20,078.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,098.80 : 48,122.11 = 13,392.77 : x
  2. Step 2: Convert to fraction form
    32,098.80/48,122.11 = 13,392.77/x
  3. Step 3: Cross multiply
    32,098.80x = 48,122.11 × 13,392.77
  4. Step 4: Simplify right side
    32,098.80x = 644,488,351.14
  5. Step 5: Solve for x
    x = 644,488,351.14/32,098.80
  6. Step 6: Final answer
    x = 20,078.27

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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.