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Finding the Fourth Proportional to 33,102.36, 49,660.38 and 10,917.09

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Solution

The fourth proportional to 33,102.36, 49,660.38 and 10,917.09 is: 16,377.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,102.36 : 49,660.38 = 10,917.09 : x
  2. Step 2: Convert to fraction form
    33,102.36/49,660.38 = 10,917.09/x
  3. Step 3: Cross multiply
    33,102.36x = 49,660.38 × 10,917.09
  4. Step 4: Simplify right side
    33,102.36x = 542,146,837.89
  5. Step 5: Solve for x
    x = 542,146,837.89/33,102.36
  6. Step 6: Final answer
    x = 16,377.89

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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.