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Finding the Fourth Proportional to 38,109.80, 57,197.10 and 17,082.20

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Solution

The fourth proportional to 38,109.80, 57,197.10 and 17,082.20 is: 25,637.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,109.80 : 57,197.10 = 17,082.20 : x
  2. Step 2: Convert to fraction form
    38,109.80/57,197.10 = 17,082.20/x
  3. Step 3: Cross multiply
    38,109.80x = 57,197.10 × 17,082.20
  4. Step 4: Simplify right side
    38,109.80x = 977,052,301.62
  5. Step 5: Solve for x
    x = 977,052,301.62/38,109.80
  6. Step 6: Final answer
    x = 25,637.82

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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.