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Finding the Fourth Proportional to 33,449, 50,176.86 and 8,825

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Solution

The fourth proportional to 33,449, 50,176.86 and 8,825 is: 13,238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,449 : 50,176.86 = 8,825 : x
  2. Step 2: Convert to fraction form
    33,449/50,176.86 = 8,825/x
  3. Step 3: Cross multiply
    33,449x = 50,176.86 × 8,825
  4. Step 4: Simplify right side
    33,449x = 442,810,789.50
  5. Step 5: Solve for x
    x = 442,810,789.50/33,449
  6. Step 6: Final answer
    x = 13,238.39

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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.