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Finding the Fourth Proportional to 33,091, 49,636.86 and 8,467

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Solution

The fourth proportional to 33,091, 49,636.86 and 8,467 is: 12,700.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,091 : 49,636.86 = 8,467 : x
  2. Step 2: Convert to fraction form
    33,091/49,636.86 = 8,467/x
  3. Step 3: Cross multiply
    33,091x = 49,636.86 × 8,467
  4. Step 4: Simplify right side
    33,091x = 420,275,293.62
  5. Step 5: Solve for x
    x = 420,275,293.62/33,091
  6. Step 6: Final answer
    x = 12,700.59

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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.