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Finding the Fourth Proportional to 33,196.50, 49,677.84 and 20,722.41

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Solution

The fourth proportional to 33,196.50, 49,677.84 and 20,722.41 is: 31,010.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,196.50 : 49,677.84 = 20,722.41 : x
  2. Step 2: Convert to fraction form
    33,196.50/49,677.84 = 20,722.41/x
  3. Step 3: Cross multiply
    33,196.50x = 49,677.84 × 20,722.41
  4. Step 4: Simplify right side
    33,196.50x = 1,029,444,568.39
  5. Step 5: Solve for x
    x = 1,029,444,568.39/33,196.50
  6. Step 6: Final answer
    x = 31,010.64

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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.