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Finding the Fourth Proportional to 33,450, 50,178.36 and 8,826

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Solution

The fourth proportional to 33,450, 50,178.36 and 8,826 is: 13,239.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,450 : 50,178.36 = 8,826 : x
  2. Step 2: Convert to fraction form
    33,450/50,178.36 = 8,826/x
  3. Step 3: Cross multiply
    33,450x = 50,178.36 × 8,826
  4. Step 4: Simplify right side
    33,450x = 442,874,205.36
  5. Step 5: Solve for x
    x = 442,874,205.36/33,450
  6. Step 6: Final answer
    x = 13,239.89

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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.