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Finding the Fourth Proportional to 33,209.92, 49,797.60 and 9,833.20

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Solution

The fourth proportional to 33,209.92, 49,797.60 and 9,833.20 is: 14,744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,209.92 : 49,797.60 = 9,833.20 : x
  2. Step 2: Convert to fraction form
    33,209.92/49,797.60 = 9,833.20/x
  3. Step 3: Cross multiply
    33,209.92x = 49,797.60 × 9,833.20
  4. Step 4: Simplify right side
    33,209.92x = 489,669,760.32
  5. Step 5: Solve for x
    x = 489,669,760.32/33,209.92
  6. Step 6: Final answer
    x = 14,744.68

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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.