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Finding the Fourth Proportional to 27,452.32, 41,175.28 and 7,731.36

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Solution

The fourth proportional to 27,452.32, 41,175.28 and 7,731.36 is: 11,596.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,452.32 : 41,175.28 = 7,731.36 : x
  2. Step 2: Convert to fraction form
    27,452.32/41,175.28 = 7,731.36/x
  3. Step 3: Cross multiply
    27,452.32x = 41,175.28 × 7,731.36
  4. Step 4: Simplify right side
    27,452.32x = 318,340,912.78
  5. Step 5: Solve for x
    x = 318,340,912.78/27,452.32
  6. Step 6: Final answer
    x = 11,596.14

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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.