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Finding the Fourth Proportional to 71,696, 107,546.88 and 22,448

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Solution

The fourth proportional to 71,696, 107,546.88 and 22,448 is: 33,672.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,696 : 107,546.88 = 22,448 : x
  2. Step 2: Convert to fraction form
    71,696/107,546.88 = 22,448/x
  3. Step 3: Cross multiply
    71,696x = 107,546.88 × 22,448
  4. Step 4: Simplify right side
    71,696x = 2,414,212,362.24
  5. Step 5: Solve for x
    x = 2,414,212,362.24/71,696
  6. Step 6: Final answer
    x = 33,672.90

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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.