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Finding the Fourth Proportional to 33,284.80, 49,912.62 and 9,906.58

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Solution

The fourth proportional to 33,284.80, 49,912.62 and 9,906.58 is: 14,855.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,284.80 : 49,912.62 = 9,906.58 : x
  2. Step 2: Convert to fraction form
    33,284.80/49,912.62 = 9,906.58/x
  3. Step 3: Cross multiply
    33,284.80x = 49,912.62 × 9,906.58
  4. Step 4: Simplify right side
    33,284.80x = 494,463,363.04
  5. Step 5: Solve for x
    x = 494,463,363.04/33,284.80
  6. Step 6: Final answer
    x = 14,855.53

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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.