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Finding the Fourth Proportional to 99,843.66, 149,715.41 and 33,260.38

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Solution

The fourth proportional to 99,843.66, 149,715.41 and 33,260.38 is: 49,873.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,843.66 : 149,715.41 = 33,260.38 : x
  2. Step 2: Convert to fraction form
    99,843.66/149,715.41 = 33,260.38/x
  3. Step 3: Cross multiply
    99,843.66x = 149,715.41 × 33,260.38
  4. Step 4: Simplify right side
    99,843.66x = 4,979,591,428.46
  5. Step 5: Solve for x
    x = 4,979,591,428.46/99,843.66
  6. Step 6: Final answer
    x = 49,873.89

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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.