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Finding the Fourth Proportional to 33,159.63, 49,743.09 and 9,786.09

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Solution

The fourth proportional to 33,159.63, 49,743.09 and 9,786.09 is: 14,680.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,159.63 : 49,743.09 = 9,786.09 : x
  2. Step 2: Convert to fraction form
    33,159.63/49,743.09 = 9,786.09/x
  3. Step 3: Cross multiply
    33,159.63x = 49,743.09 × 9,786.09
  4. Step 4: Simplify right side
    33,159.63x = 486,790,355.62
  5. Step 5: Solve for x
    x = 486,790,355.62/33,159.63
  6. Step 6: Final answer
    x = 14,680.21

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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.