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Finding the Fourth Proportional to 71,791.20, 107,696.66 and 24,393.56

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Solution

The fourth proportional to 71,791.20, 107,696.66 and 24,393.56 is: 36,593.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,791.20 : 107,696.66 = 24,393.56 : x
  2. Step 2: Convert to fraction form
    71,791.20/107,696.66 = 24,393.56/x
  3. Step 3: Cross multiply
    71,791.20x = 107,696.66 × 24,393.56
  4. Step 4: Simplify right side
    71,791.20x = 2,627,104,937.51
  5. Step 5: Solve for x
    x = 2,627,104,937.51/71,791.20
  6. Step 6: Final answer
    x = 36,593.69

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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.