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Finding the Fourth Proportional to 38,441.36, 57,675 and 38,182.16

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Solution

The fourth proportional to 38,441.36, 57,675 and 38,182.16 is: 57,286.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,441.36 : 57,675 = 38,182.16 : x
  2. Step 2: Convert to fraction form
    38,441.36/57,675 = 38,182.16/x
  3. Step 3: Cross multiply
    38,441.36x = 57,675 × 38,182.16
  4. Step 4: Simplify right side
    38,441.36x = 2,202,156,078
  5. Step 5: Solve for x
    x = 2,202,156,078/38,441.36
  6. Step 6: Final answer
    x = 57,286.11

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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.