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Finding the Fourth Proportional to 33,973.26, 50,960.94 and 16,205.84

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Solution

The fourth proportional to 33,973.26, 50,960.94 and 16,205.84 is: 24,309.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,973.26 : 50,960.94 = 16,205.84 : x
  2. Step 2: Convert to fraction form
    33,973.26/50,960.94 = 16,205.84/x
  3. Step 3: Cross multiply
    33,973.26x = 50,960.94 × 16,205.84
  4. Step 4: Simplify right side
    33,973.26x = 825,864,806.57
  5. Step 5: Solve for x
    x = 825,864,806.57/33,973.26
  6. Step 6: Final answer
    x = 24,309.26

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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.