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Finding the Fourth Proportional to 65,213.24, 97,751.82 and 27,791.24

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Solution

The fourth proportional to 65,213.24, 97,751.82 and 27,791.24 is: 41,657.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,213.24 : 97,751.82 = 27,791.24 : x
  2. Step 2: Convert to fraction form
    65,213.24/97,751.82 = 27,791.24/x
  3. Step 3: Cross multiply
    65,213.24x = 97,751.82 × 27,791.24
  4. Step 4: Simplify right side
    65,213.24x = 2,716,644,290.06
  5. Step 5: Solve for x
    x = 2,716,644,290.06/65,213.24
  6. Step 6: Final answer
    x = 41,657.86

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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.