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Finding the Fourth Proportional to 38,446.30, 57,672.42 and 12,153.16

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Solution

The fourth proportional to 38,446.30, 57,672.42 and 12,153.16 is: 18,230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,446.30 : 57,672.42 = 12,153.16 : x
  2. Step 2: Convert to fraction form
    38,446.30/57,672.42 = 12,153.16/x
  3. Step 3: Cross multiply
    38,446.30x = 57,672.42 × 12,153.16
  4. Step 4: Simplify right side
    38,446.30x = 700,902,147.85
  5. Step 5: Solve for x
    x = 700,902,147.85/38,446.30
  6. Step 6: Final answer
    x = 18,230.68

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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.