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Finding the Fourth Proportional to 36,190.38, 49,942.70 and 22,043.22

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Solution

The fourth proportional to 36,190.38, 49,942.70 and 22,043.22 is: 30,419.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,190.38 : 49,942.70 = 22,043.22 : x
  2. Step 2: Convert to fraction form
    36,190.38/49,942.70 = 22,043.22/x
  3. Step 3: Cross multiply
    36,190.38x = 49,942.70 × 22,043.22
  4. Step 4: Simplify right side
    36,190.38x = 1,100,897,923.49
  5. Step 5: Solve for x
    x = 1,100,897,923.49/36,190.38
  6. Step 6: Final answer
    x = 30,419.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.