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Finding the Fourth Proportional to 32,142.39, 44,351.22 and 20,197.27

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Solution

The fourth proportional to 32,142.39, 44,351.22 and 20,197.27 is: 27,868.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,142.39 : 44,351.22 = 20,197.27 : x
  2. Step 2: Convert to fraction form
    32,142.39/44,351.22 = 20,197.27/x
  3. Step 3: Cross multiply
    32,142.39x = 44,351.22 × 20,197.27
  4. Step 4: Simplify right side
    32,142.39x = 895,773,565.17
  5. Step 5: Solve for x
    x = 895,773,565.17/32,142.39
  6. Step 6: Final answer
    x = 27,868.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.