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Finding the Fourth Proportional to 31,635.90, 43,667.91 and 22,206.78

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Solution

The fourth proportional to 31,635.90, 43,667.91 and 22,206.78 is: 30,652.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,635.90 : 43,667.91 = 22,206.78 : x
  2. Step 2: Convert to fraction form
    31,635.90/43,667.91 = 22,206.78/x
  3. Step 3: Cross multiply
    31,635.90x = 43,667.91 × 22,206.78
  4. Step 4: Simplify right side
    31,635.90x = 969,723,670.43
  5. Step 5: Solve for x
    x = 969,723,670.43/31,635.90
  6. Step 6: Final answer
    x = 30,652.63

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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.