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Finding the Fourth Proportional to 38,601, 57,769.92 and 32,367.96

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Solution

The fourth proportional to 38,601, 57,769.92 and 32,367.96 is: 48,441.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,601 : 57,769.92 = 32,367.96 : x
  2. Step 2: Convert to fraction form
    38,601/57,769.92 = 32,367.96/x
  3. Step 3: Cross multiply
    38,601x = 57,769.92 × 32,367.96
  4. Step 4: Simplify right side
    38,601x = 1,869,894,459.76
  5. Step 5: Solve for x
    x = 1,869,894,459.76/38,601
  6. Step 6: Final answer
    x = 48,441.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.