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Finding the Fourth Proportional to 71,786.54, 107,561.33 and 41,716.37

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Solution

The fourth proportional to 71,786.54, 107,561.33 and 41,716.37 is: 62,505.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,786.54 : 107,561.33 = 41,716.37 : x
  2. Step 2: Convert to fraction form
    71,786.54/107,561.33 = 41,716.37/x
  3. Step 3: Cross multiply
    71,786.54x = 107,561.33 × 41,716.37
  4. Step 4: Simplify right side
    71,786.54x = 4,487,068,239.97
  5. Step 5: Solve for x
    x = 4,487,068,239.97/71,786.54
  6. Step 6: Final answer
    x = 62,505.70

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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.