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Finding the Fourth Proportional to 33,834.50, 50,758.75 and 10,141.09

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Solution

The fourth proportional to 33,834.50, 50,758.75 and 10,141.09 is: 15,213.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,834.50 : 50,758.75 = 10,141.09 : x
  2. Step 2: Convert to fraction form
    33,834.50/50,758.75 = 10,141.09/x
  3. Step 3: Cross multiply
    33,834.50x = 50,758.75 × 10,141.09
  4. Step 4: Simplify right side
    33,834.50x = 514,748,866.44
  5. Step 5: Solve for x
    x = 514,748,866.44/33,834.50
  6. Step 6: Final answer
    x = 15,213.73

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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.