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Finding the Fourth Proportional to 33,205.45, 49,815.47 and 9,833.71

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Solution

The fourth proportional to 33,205.45, 49,815.47 and 9,833.71 is: 14,752.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,205.45 : 49,815.47 = 9,833.71 : x
  2. Step 2: Convert to fraction form
    33,205.45/49,815.47 = 9,833.71/x
  3. Step 3: Cross multiply
    33,205.45x = 49,815.47 × 9,833.71
  4. Step 4: Simplify right side
    33,205.45x = 489,870,885.49
  5. Step 5: Solve for x
    x = 489,870,885.49/33,205.45
  6. Step 6: Final answer
    x = 14,752.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.