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Finding the Fourth Proportional to 27,700.98, 41,540.53 and 10,161.24

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Solution

The fourth proportional to 27,700.98, 41,540.53 and 10,161.24 is: 15,237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,700.98 : 41,540.53 = 10,161.24 : x
  2. Step 2: Convert to fraction form
    27,700.98/41,540.53 = 10,161.24/x
  3. Step 3: Cross multiply
    27,700.98x = 41,540.53 × 10,161.24
  4. Step 4: Simplify right side
    27,700.98x = 422,103,295.06
  5. Step 5: Solve for x
    x = 422,103,295.06/27,700.98
  6. Step 6: Final answer
    x = 15,237.85

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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.