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Finding the Fourth Proportional to 33,205.71, 49,815.84 and 9,833.97

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Solution

The fourth proportional to 33,205.71, 49,815.84 and 9,833.97 is: 14,753.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,205.71 : 49,815.84 = 9,833.97 : x
  2. Step 2: Convert to fraction form
    33,205.71/49,815.84 = 9,833.97/x
  3. Step 3: Cross multiply
    33,205.71x = 49,815.84 × 9,833.97
  4. Step 4: Simplify right side
    33,205.71x = 489,887,476.08
  5. Step 5: Solve for x
    x = 489,887,476.08/33,205.71
  6. Step 6: Final answer
    x = 14,753.11

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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.