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Finding the Fourth Proportional to 38,502.42, 57,758.49 and 13,536.60

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Solution

The fourth proportional to 38,502.42, 57,758.49 and 13,536.60 is: 20,306.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,502.42 : 57,758.49 = 13,536.60 : x
  2. Step 2: Convert to fraction form
    38,502.42/57,758.49 = 13,536.60/x
  3. Step 3: Cross multiply
    38,502.42x = 57,758.49 × 13,536.60
  4. Step 4: Simplify right side
    38,502.42x = 781,853,575.73
  5. Step 5: Solve for x
    x = 781,853,575.73/38,502.42
  6. Step 6: Final answer
    x = 20,306.61

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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.