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Finding the Fourth Proportional to 33,209.80, 49,824.30 and 9,836.68

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Solution

The fourth proportional to 33,209.80, 49,824.30 and 9,836.68 is: 14,757.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,209.80 : 49,824.30 = 9,836.68 : x
  2. Step 2: Convert to fraction form
    33,209.80/49,824.30 = 9,836.68/x
  3. Step 3: Cross multiply
    33,209.80x = 49,824.30 × 9,836.68
  4. Step 4: Simplify right side
    33,209.80x = 490,105,695.32
  5. Step 5: Solve for x
    x = 490,105,695.32/33,209.80
  6. Step 6: Final answer
    x = 14,757.86

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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.