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Finding the Fourth Proportional to 33,109.86, 49,652.49 and 10,917.28

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Solution

The fourth proportional to 33,109.86, 49,652.49 and 10,917.28 is: 16,371.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,109.86 : 49,652.49 = 10,917.28 : x
  2. Step 2: Convert to fraction form
    33,109.86/49,652.49 = 10,917.28/x
  3. Step 3: Cross multiply
    33,109.86x = 49,652.49 × 10,917.28
  4. Step 4: Simplify right side
    33,109.86x = 542,070,239.03
  5. Step 5: Solve for x
    x = 542,070,239.03/33,109.86
  6. Step 6: Final answer
    x = 16,371.87

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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.