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Finding the Fourth Proportional to 36,029.25, 49,722.12 and 20,113.38

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Solution

The fourth proportional to 36,029.25, 49,722.12 and 20,113.38 is: 27,757.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,029.25 : 49,722.12 = 20,113.38 : x
  2. Step 2: Convert to fraction form
    36,029.25/49,722.12 = 20,113.38/x
  3. Step 3: Cross multiply
    36,029.25x = 49,722.12 × 20,113.38
  4. Step 4: Simplify right side
    36,029.25x = 1,000,079,893.97
  5. Step 5: Solve for x
    x = 1,000,079,893.97/36,029.25
  6. Step 6: Final answer
    x = 27,757.44

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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.