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Finding the Fourth Proportional to 65,255.14, 97,791.11 and 27,764.49

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Solution

The fourth proportional to 65,255.14, 97,791.11 and 27,764.49 is: 41,607.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,255.14 : 97,791.11 = 27,764.49 : x
  2. Step 2: Convert to fraction form
    65,255.14/97,791.11 = 27,764.49/x
  3. Step 3: Cross multiply
    65,255.14x = 97,791.11 × 27,764.49
  4. Step 4: Simplify right side
    65,255.14x = 2,715,120,295.68
  5. Step 5: Solve for x
    x = 2,715,120,295.68/65,255.14
  6. Step 6: Final answer
    x = 41,607.76

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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.