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Finding the Fourth Proportional to 113,169.26, 169,780.15 and 33,204

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Solution

The fourth proportional to 113,169.26, 169,780.15 and 33,204 is: 49,813.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,169.26 : 169,780.15 = 33,204 : x
  2. Step 2: Convert to fraction form
    113,169.26/169,780.15 = 33,204/x
  3. Step 3: Cross multiply
    113,169.26x = 169,780.15 × 33,204
  4. Step 4: Simplify right side
    113,169.26x = 5,637,380,100.60
  5. Step 5: Solve for x
    x = 5,637,380,100.60/113,169.26
  6. Step 6: Final answer
    x = 49,813.70

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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.