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Finding the Fourth Proportional to 33,057.26, 49,563.86 and 11,994.56

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Solution

The fourth proportional to 33,057.26, 49,563.86 and 11,994.56 is: 17,983.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,057.26 : 49,563.86 = 11,994.56 : x
  2. Step 2: Convert to fraction form
    33,057.26/49,563.86 = 11,994.56/x
  3. Step 3: Cross multiply
    33,057.26x = 49,563.86 × 11,994.56
  4. Step 4: Simplify right side
    33,057.26x = 594,496,846.50
  5. Step 5: Solve for x
    x = 594,496,846.50/33,057.26
  6. Step 6: Final answer
    x = 17,983.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.