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Finding the Fourth Proportional to 71,696.86, 107,542.86 and 27,322

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Solution

The fourth proportional to 71,696.86, 107,542.86 and 27,322 is: 40,982.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,696.86 : 107,542.86 = 27,322 : x
  2. Step 2: Convert to fraction form
    71,696.86/107,542.86 = 27,322/x
  3. Step 3: Cross multiply
    71,696.86x = 107,542.86 × 27,322
  4. Step 4: Simplify right side
    71,696.86x = 2,938,286,020.92
  5. Step 5: Solve for x
    x = 2,938,286,020.92/71,696.86
  6. Step 6: Final answer
    x = 40,982.07

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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.