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Finding the Fourth Proportional to 33,205.66, 49,815.76 and 9,833.92

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Solution

The fourth proportional to 33,205.66, 49,815.76 and 9,833.92 is: 14,753.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,205.66 : 49,815.76 = 9,833.92 : x
  2. Step 2: Convert to fraction form
    33,205.66/49,815.76 = 9,833.92/x
  3. Step 3: Cross multiply
    33,205.66x = 49,815.76 × 9,833.92
  4. Step 4: Simplify right side
    33,205.66x = 489,884,198.58
  5. Step 5: Solve for x
    x = 489,884,198.58/33,205.66
  6. Step 6: Final answer
    x = 14,753.03

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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.