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Finding the Fourth Proportional to 33,100, 49,650 and 9,725.92

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Solution

The fourth proportional to 33,100, 49,650 and 9,725.92 is: 14,588.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,100 : 49,650 = 9,725.92 : x
  2. Step 2: Convert to fraction form
    33,100/49,650 = 9,725.92/x
  3. Step 3: Cross multiply
    33,100x = 49,650 × 9,725.92
  4. Step 4: Simplify right side
    33,100x = 482,891,928
  5. Step 5: Solve for x
    x = 482,891,928/33,100
  6. Step 6: Final answer
    x = 14,588.88

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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.