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Finding the Fourth Proportional to 38,794.38, 53,536.24 and 22,027.38

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Solution

The fourth proportional to 38,794.38, 53,536.24 and 22,027.38 is: 30,397.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,794.38 : 53,536.24 = 22,027.38 : x
  2. Step 2: Convert to fraction form
    38,794.38/53,536.24 = 22,027.38/x
  3. Step 3: Cross multiply
    38,794.38x = 53,536.24 × 22,027.38
  4. Step 4: Simplify right side
    38,794.38x = 1,179,263,102.25
  5. Step 5: Solve for x
    x = 1,179,263,102.25/38,794.38
  6. Step 6: Final answer
    x = 30,397.78

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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.