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Finding the Fourth Proportional to 99,843.56, 149,755.08 and 33,276.50

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Solution

The fourth proportional to 99,843.56, 149,755.08 and 33,276.50 is: 49,911.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,843.56 : 149,755.08 = 33,276.50 : x
  2. Step 2: Convert to fraction form
    99,843.56/149,755.08 = 33,276.50/x
  3. Step 3: Cross multiply
    99,843.56x = 149,755.08 × 33,276.50
  4. Step 4: Simplify right side
    99,843.56x = 4,983,324,919.62
  5. Step 5: Solve for x
    x = 4,983,324,919.62/99,843.56
  6. Step 6: Final answer
    x = 49,911.33

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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.