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Finding the Fourth Proportional to 33,107.78, 49,651.14 and 10,917.02

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Solution

The fourth proportional to 33,107.78, 49,651.14 and 10,917.02 is: 16,372.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,107.78 : 49,651.14 = 10,917.02 : x
  2. Step 2: Convert to fraction form
    33,107.78/49,651.14 = 10,917.02/x
  3. Step 3: Cross multiply
    33,107.78x = 49,651.14 × 10,917.02
  4. Step 4: Simplify right side
    33,107.78x = 542,042,488.40
  5. Step 5: Solve for x
    x = 542,042,488.40/33,107.78
  6. Step 6: Final answer
    x = 16,372.06

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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.