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Finding the Fourth Proportional to 38,647.60, 57,924.60 and 16,414.30

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Solution

The fourth proportional to 38,647.60, 57,924.60 and 16,414.30 is: 24,601.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,647.60 : 57,924.60 = 16,414.30 : x
  2. Step 2: Convert to fraction form
    38,647.60/57,924.60 = 16,414.30/x
  3. Step 3: Cross multiply
    38,647.60x = 57,924.60 × 16,414.30
  4. Step 4: Simplify right side
    38,647.60x = 950,791,761.78
  5. Step 5: Solve for x
    x = 950,791,761.78/38,647.60
  6. Step 6: Final answer
    x = 24,601.57

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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.