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Finding the Fourth Proportional to 38,066.56, 57,082.30 and 15,866.68

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Solution

The fourth proportional to 38,066.56, 57,082.30 and 15,866.68 is: 23,792.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,066.56 : 57,082.30 = 15,866.68 : x
  2. Step 2: Convert to fraction form
    38,066.56/57,082.30 = 15,866.68/x
  3. Step 3: Cross multiply
    38,066.56x = 57,082.30 × 15,866.68
  4. Step 4: Simplify right side
    38,066.56x = 905,706,587.76
  5. Step 5: Solve for x
    x = 905,706,587.76/38,066.56
  6. Step 6: Final answer
    x = 23,792.71

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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.