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Finding the Fourth Proportional to 33,817, 50,725.56 and 9,193

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Solution

The fourth proportional to 33,817, 50,725.56 and 9,193 is: 13,789.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,817 : 50,725.56 = 9,193 : x
  2. Step 2: Convert to fraction form
    33,817/50,725.56 = 9,193/x
  3. Step 3: Cross multiply
    33,817x = 50,725.56 × 9,193
  4. Step 4: Simplify right side
    33,817x = 466,320,073.08
  5. Step 5: Solve for x
    x = 466,320,073.08/33,817
  6. Step 6: Final answer
    x = 13,789.52

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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.