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Finding the Fourth Proportional to 38,082.76, 57,137.60 and 17,020.94

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Solution

The fourth proportional to 38,082.76, 57,137.60 and 17,020.94 is: 25,537.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,082.76 : 57,137.60 = 17,020.94 : x
  2. Step 2: Convert to fraction form
    38,082.76/57,137.60 = 17,020.94/x
  3. Step 3: Cross multiply
    38,082.76x = 57,137.60 × 17,020.94
  4. Step 4: Simplify right side
    38,082.76x = 972,535,418.21
  5. Step 5: Solve for x
    x = 972,535,418.21/38,082.76
  6. Step 6: Final answer
    x = 25,537.42

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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.