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Finding the Fourth Proportional to 38,082.89, 57,087.04 and 15,902.60

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Solution

The fourth proportional to 38,082.89, 57,087.04 and 15,902.60 is: 23,838.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,082.89 : 57,087.04 = 15,902.60 : x
  2. Step 2: Convert to fraction form
    38,082.89/57,087.04 = 15,902.60/x
  3. Step 3: Cross multiply
    38,082.89x = 57,087.04 × 15,902.60
  4. Step 4: Simplify right side
    38,082.89x = 907,832,505.02
  5. Step 5: Solve for x
    x = 907,832,505.02/38,082.89
  6. Step 6: Final answer
    x = 23,838.33

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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.