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Finding the Fourth Proportional to 33,633.80, 50,450.70 and 10,257.20

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Solution

The fourth proportional to 33,633.80, 50,450.70 and 10,257.20 is: 15,385.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,633.80 : 50,450.70 = 10,257.20 : x
  2. Step 2: Convert to fraction form
    33,633.80/50,450.70 = 10,257.20/x
  3. Step 3: Cross multiply
    33,633.80x = 50,450.70 × 10,257.20
  4. Step 4: Simplify right side
    33,633.80x = 517,482,920.04
  5. Step 5: Solve for x
    x = 517,482,920.04/33,633.80
  6. Step 6: Final answer
    x = 15,385.80

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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.