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Finding the Fourth Proportional to 71,733, 107,616.78 and 22,485

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Solution

The fourth proportional to 71,733, 107,616.78 and 22,485 is: 33,732.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,733 : 107,616.78 = 22,485 : x
  2. Step 2: Convert to fraction form
    71,733/107,616.78 = 22,485/x
  3. Step 3: Cross multiply
    71,733x = 107,616.78 × 22,485
  4. Step 4: Simplify right side
    71,733x = 2,419,763,298.30
  5. Step 5: Solve for x
    x = 2,419,763,298.30/71,733
  6. Step 6: Final answer
    x = 33,732.92

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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.