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Finding the Fourth Proportional to 36,134.82, 49,866.06 and 20,222.34

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Solution

The fourth proportional to 36,134.82, 49,866.06 and 20,222.34 is: 27,906.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,134.82 : 49,866.06 = 20,222.34 : x
  2. Step 2: Convert to fraction form
    36,134.82/49,866.06 = 20,222.34/x
  3. Step 3: Cross multiply
    36,134.82x = 49,866.06 × 20,222.34
  4. Step 4: Simplify right side
    36,134.82x = 1,008,408,419.78
  5. Step 5: Solve for x
    x = 1,008,408,419.78/36,134.82
  6. Step 6: Final answer
    x = 27,906.83

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