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Finding the Fourth Proportional to 32,227.56, 48,341.90 and 8,853.88

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Solution

The fourth proportional to 32,227.56, 48,341.90 and 8,853.88 is: 13,280.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,227.56 : 48,341.90 = 8,853.88 : x
  2. Step 2: Convert to fraction form
    32,227.56/48,341.90 = 8,853.88/x
  3. Step 3: Cross multiply
    32,227.56x = 48,341.90 × 8,853.88
  4. Step 4: Simplify right side
    32,227.56x = 428,013,381.57
  5. Step 5: Solve for x
    x = 428,013,381.57/32,227.56
  6. Step 6: Final answer
    x = 13,280.97

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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.