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Finding the Fourth Proportional to 33,107.88, 49,646.19 and 12,033.09

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Solution

The fourth proportional to 33,107.88, 49,646.19 and 12,033.09 is: 18,043.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,107.88 : 49,646.19 = 12,033.09 : x
  2. Step 2: Convert to fraction form
    33,107.88/49,646.19 = 12,033.09/x
  3. Step 3: Cross multiply
    33,107.88x = 49,646.19 × 12,033.09
  4. Step 4: Simplify right side
    33,107.88x = 597,397,072.43
  5. Step 5: Solve for x
    x = 597,397,072.43/33,107.88
  6. Step 6: Final answer
    x = 18,043.95

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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.