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Finding the Fourth Proportional to 37,844.38, 52,225.24 and 21,077.38

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Solution

The fourth proportional to 37,844.38, 52,225.24 and 21,077.38 is: 29,086.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,844.38 : 52,225.24 = 21,077.38 : x
  2. Step 2: Convert to fraction form
    37,844.38/52,225.24 = 21,077.38/x
  3. Step 3: Cross multiply
    37,844.38x = 52,225.24 × 21,077.38
  4. Step 4: Simplify right side
    37,844.38x = 1,100,770,967.95
  5. Step 5: Solve for x
    x = 1,100,770,967.95/37,844.38
  6. Step 6: Final answer
    x = 29,086.78

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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.