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Finding the Fourth Proportional to 33,149.52, 49,717.80 and 9,769.68

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Solution

The fourth proportional to 33,149.52, 49,717.80 and 9,769.68 is: 14,652.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,149.52 : 49,717.80 = 9,769.68 : x
  2. Step 2: Convert to fraction form
    33,149.52/49,717.80 = 9,769.68/x
  3. Step 3: Cross multiply
    33,149.52x = 49,717.80 × 9,769.68
  4. Step 4: Simplify right side
    33,149.52x = 485,726,996.30
  5. Step 5: Solve for x
    x = 485,726,996.30/33,149.52
  6. Step 6: Final answer
    x = 14,652.61

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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.