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Finding the Fourth Proportional to 96,198, 144,299.16 and 33,018

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Solution

The fourth proportional to 96,198, 144,299.16 and 33,018 is: 49,527.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,198 : 144,299.16 = 33,018 : x
  2. Step 2: Convert to fraction form
    96,198/144,299.16 = 33,018/x
  3. Step 3: Cross multiply
    96,198x = 144,299.16 × 33,018
  4. Step 4: Simplify right side
    96,198x = 4,764,469,664.88
  5. Step 5: Solve for x
    x = 4,764,469,664.88/96,198
  6. Step 6: Final answer
    x = 49,527.74

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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.