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Finding the Fourth Proportional to 38,197.44, 52,709.76 and 21,432.96

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Solution

The fourth proportional to 38,197.44, 52,709.76 and 21,432.96 is: 29,575.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,197.44 : 52,709.76 = 21,432.96 : x
  2. Step 2: Convert to fraction form
    38,197.44/52,709.76 = 21,432.96/x
  3. Step 3: Cross multiply
    38,197.44x = 52,709.76 × 21,432.96
  4. Step 4: Simplify right side
    38,197.44x = 1,129,726,177.69
  5. Step 5: Solve for x
    x = 1,129,726,177.69/38,197.44
  6. Step 6: Final answer
    x = 29,575.97

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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.