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Finding the Fourth Proportional to 27,433.32, 41,057.82 and 15,729

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Solution

The fourth proportional to 27,433.32, 41,057.82 and 15,729 is: 23,540.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,433.32 : 41,057.82 = 15,729 : x
  2. Step 2: Convert to fraction form
    27,433.32/41,057.82 = 15,729/x
  3. Step 3: Cross multiply
    27,433.32x = 41,057.82 × 15,729
  4. Step 4: Simplify right side
    27,433.32x = 645,798,450.78
  5. Step 5: Solve for x
    x = 645,798,450.78/27,433.32
  6. Step 6: Final answer
    x = 23,540.66

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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.