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Finding the Fourth Proportional to 33,833.49, 50,755.10 and 10,461.75

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Solution

The fourth proportional to 33,833.49, 50,755.10 and 10,461.75 is: 15,694.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,833.49 : 50,755.10 = 10,461.75 : x
  2. Step 2: Convert to fraction form
    33,833.49/50,755.10 = 10,461.75/x
  3. Step 3: Cross multiply
    33,833.49x = 50,755.10 × 10,461.75
  4. Step 4: Simplify right side
    33,833.49x = 530,987,115.12
  5. Step 5: Solve for x
    x = 530,987,115.12/33,833.49
  6. Step 6: Final answer
    x = 15,694.13

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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.