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Finding the Fourth Proportional to 84,524.68, 126,794.22 and 22,195

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Solution

The fourth proportional to 84,524.68, 126,794.22 and 22,195 is: 33,294.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,524.68 : 126,794.22 = 22,195 : x
  2. Step 2: Convert to fraction form
    84,524.68/126,794.22 = 22,195/x
  3. Step 3: Cross multiply
    84,524.68x = 126,794.22 × 22,195
  4. Step 4: Simplify right side
    84,524.68x = 2,814,197,712.90
  5. Step 5: Solve for x
    x = 2,814,197,712.90/84,524.68
  6. Step 6: Final answer
    x = 33,294.39

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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.