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Finding the Fourth Proportional to 27,531.72, 41,297.64 and 6,755.28

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Solution

The fourth proportional to 27,531.72, 41,297.64 and 6,755.28 is: 10,132.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,531.72 : 41,297.64 = 6,755.28 : x
  2. Step 2: Convert to fraction form
    27,531.72/41,297.64 = 6,755.28/x
  3. Step 3: Cross multiply
    27,531.72x = 41,297.64 × 6,755.28
  4. Step 4: Simplify right side
    27,531.72x = 278,977,121.54
  5. Step 5: Solve for x
    x = 278,977,121.54/27,531.72
  6. Step 6: Final answer
    x = 10,132.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.