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Finding the Fourth Proportional to 33,144.71, 49,692.23 and 19,994.01

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Solution

The fourth proportional to 33,144.71, 49,692.23 and 19,994.01 is: 29,976.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,144.71 : 49,692.23 = 19,994.01 : x
  2. Step 2: Convert to fraction form
    33,144.71/49,692.23 = 19,994.01/x
  3. Step 3: Cross multiply
    33,144.71x = 49,692.23 × 19,994.01
  4. Step 4: Simplify right side
    33,144.71x = 993,546,843.57
  5. Step 5: Solve for x
    x = 993,546,843.57/33,144.71
  6. Step 6: Final answer
    x = 29,976.04

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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.