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Finding the Fourth Proportional to 38,129.80, 57,227.10 and 17,102.20

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Solution

The fourth proportional to 38,129.80, 57,227.10 and 17,102.20 is: 25,667.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,129.80 : 57,227.10 = 17,102.20 : x
  2. Step 2: Convert to fraction form
    38,129.80/57,227.10 = 17,102.20/x
  3. Step 3: Cross multiply
    38,129.80x = 57,227.10 × 17,102.20
  4. Step 4: Simplify right side
    38,129.80x = 978,709,309.62
  5. Step 5: Solve for x
    x = 978,709,309.62/38,129.80
  6. Step 6: Final answer
    x = 25,667.83

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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.