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Finding the Fourth Proportional to 38,745.50, 58,098.05 and 13,781.92

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Solution

The fourth proportional to 38,745.50, 58,098.05 and 13,781.92 is: 20,665.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,745.50 : 58,098.05 = 13,781.92 : x
  2. Step 2: Convert to fraction form
    38,745.50/58,098.05 = 13,781.92/x
  3. Step 3: Cross multiply
    38,745.50x = 58,098.05 × 13,781.92
  4. Step 4: Simplify right side
    38,745.50x = 800,702,514.78
  5. Step 5: Solve for x
    x = 800,702,514.78/38,745.50
  6. Step 6: Final answer
    x = 20,665.69

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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.