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Finding the Fourth Proportional to 71,786.12, 107,696.22 and 22,538.12

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Solution

The fourth proportional to 71,786.12, 107,696.22 and 22,538.12 is: 33,812.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,786.12 : 107,696.22 = 22,538.12 : x
  2. Step 2: Convert to fraction form
    71,786.12/107,696.22 = 22,538.12/x
  3. Step 3: Cross multiply
    71,786.12x = 107,696.22 × 22,538.12
  4. Step 4: Simplify right side
    71,786.12x = 2,427,270,329.91
  5. Step 5: Solve for x
    x = 2,427,270,329.91/71,786.12
  6. Step 6: Final answer
    x = 33,812.53

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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.