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Finding the Fourth Proportional to 38,144.10, 57,142.34 and 21,453.42

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Solution

The fourth proportional to 38,144.10, 57,142.34 and 21,453.42 is: 32,138.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,144.10 : 57,142.34 = 21,453.42 : x
  2. Step 2: Convert to fraction form
    38,144.10/57,142.34 = 21,453.42/x
  3. Step 3: Cross multiply
    38,144.10x = 57,142.34 × 21,453.42
  4. Step 4: Simplify right side
    38,144.10x = 1,225,898,387.72
  5. Step 5: Solve for x
    x = 1,225,898,387.72/38,144.10
  6. Step 6: Final answer
    x = 32,138.62

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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.