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Finding the Fourth Proportional to 38,082.50, 57,040.58 and 15,828.42

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Solution

The fourth proportional to 38,082.50, 57,040.58 and 15,828.42 is: 23,708.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,082.50 : 57,040.58 = 15,828.42 : x
  2. Step 2: Convert to fraction form
    38,082.50/57,040.58 = 15,828.42/x
  3. Step 3: Cross multiply
    38,082.50x = 57,040.58 × 15,828.42
  4. Step 4: Simplify right side
    38,082.50x = 902,862,257.28
  5. Step 5: Solve for x
    x = 902,862,257.28/38,082.50
  6. Step 6: Final answer
    x = 23,708.06

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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.