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Finding the Fourth Proportional to 32,002.11, 44,162.60 and 17,662.71

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Solution

The fourth proportional to 32,002.11, 44,162.60 and 17,662.71 is: 24,374.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,002.11 : 44,162.60 = 17,662.71 : x
  2. Step 2: Convert to fraction form
    32,002.11/44,162.60 = 17,662.71/x
  3. Step 3: Cross multiply
    32,002.11x = 44,162.60 × 17,662.71
  4. Step 4: Simplify right side
    32,002.11x = 780,031,108.33
  5. Step 5: Solve for x
    x = 780,031,108.33/32,002.11
  6. Step 6: Final answer
    x = 24,374.36

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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.