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Finding the Fourth Proportional to 37,101.78, 51,199.89 and 20,105.61

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Solution

The fourth proportional to 37,101.78, 51,199.89 and 20,105.61 is: 27,745.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,101.78 : 51,199.89 = 20,105.61 : x
  2. Step 2: Convert to fraction form
    37,101.78/51,199.89 = 20,105.61/x
  3. Step 3: Cross multiply
    37,101.78x = 51,199.89 × 20,105.61
  4. Step 4: Simplify right side
    37,101.78x = 1,029,405,020.38
  5. Step 5: Solve for x
    x = 1,029,405,020.38/37,101.78
  6. Step 6: Final answer
    x = 27,745.43

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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.