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Finding the Fourth Proportional to 57,082.38, 85,662.51 and 20,146.38

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Solution

The fourth proportional to 57,082.38, 85,662.51 and 20,146.38 is: 30,233.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,082.38 : 85,662.51 = 20,146.38 : x
  2. Step 2: Convert to fraction form
    57,082.38/85,662.51 = 20,146.38/x
  3. Step 3: Cross multiply
    57,082.38x = 85,662.51 × 20,146.38
  4. Step 4: Simplify right side
    57,082.38x = 1,725,789,478.21
  5. Step 5: Solve for x
    x = 1,725,789,478.21/57,082.38
  6. Step 6: Final answer
    x = 30,233.31

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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.