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Finding the Fourth Proportional to 38,082.57, 57,135.54 and 17,040.33

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Solution

The fourth proportional to 38,082.57, 57,135.54 and 17,040.33 is: 25,565.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,082.57 : 57,135.54 = 17,040.33 : x
  2. Step 2: Convert to fraction form
    38,082.57/57,135.54 = 17,040.33/x
  3. Step 3: Cross multiply
    38,082.57x = 57,135.54 × 17,040.33
  4. Step 4: Simplify right side
    38,082.57x = 973,608,456.33
  5. Step 5: Solve for x
    x = 973,608,456.33/38,082.57
  6. Step 6: Final answer
    x = 25,565.72

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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.