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Finding the Fourth Proportional to 51,791.82, 77,593.68 and 23,735.22

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Solution

The fourth proportional to 51,791.82, 77,593.68 and 23,735.22 is: 35,559.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,791.82 : 77,593.68 = 23,735.22 : x
  2. Step 2: Convert to fraction form
    51,791.82/77,593.68 = 23,735.22/x
  3. Step 3: Cross multiply
    51,791.82x = 77,593.68 × 23,735.22
  4. Step 4: Simplify right side
    51,791.82x = 1,841,703,065.41
  5. Step 5: Solve for x
    x = 1,841,703,065.41/51,791.82
  6. Step 6: Final answer
    x = 35,559.73

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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.