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Finding the Fourth Proportional to 32,049.30, 44,227.31 and 17,902.11

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Solution

The fourth proportional to 32,049.30, 44,227.31 and 17,902.11 is: 24,704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,049.30 : 44,227.31 = 17,902.11 : x
  2. Step 2: Convert to fraction form
    32,049.30/44,227.31 = 17,902.11/x
  3. Step 3: Cross multiply
    32,049.30x = 44,227.31 × 17,902.11
  4. Step 4: Simplify right side
    32,049.30x = 791,762,079.11
  5. Step 5: Solve for x
    x = 791,762,079.11/32,049.30
  6. Step 6: Final answer
    x = 24,704.50

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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.