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Finding the Fourth Proportional to 38,129.46, 57,201.84 and 13,170.42

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Solution

The fourth proportional to 38,129.46, 57,201.84 and 13,170.42 is: 19,758.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,129.46 : 57,201.84 = 13,170.42 : x
  2. Step 2: Convert to fraction form
    38,129.46/57,201.84 = 13,170.42/x
  3. Step 3: Cross multiply
    38,129.46x = 57,201.84 × 13,170.42
  4. Step 4: Simplify right side
    38,129.46x = 753,372,257.57
  5. Step 5: Solve for x
    x = 753,372,257.57/38,129.46
  6. Step 6: Final answer
    x = 19,758.27

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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.