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Finding the Fourth Proportional to 31,234.52, 43,039.86 and 22,262.96

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Solution

The fourth proportional to 31,234.52, 43,039.86 and 22,262.96 is: 30,677.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,234.52 : 43,039.86 = 22,262.96 : x
  2. Step 2: Convert to fraction form
    31,234.52/43,039.86 = 22,262.96/x
  3. Step 3: Cross multiply
    31,234.52x = 43,039.86 × 22,262.96
  4. Step 4: Simplify right side
    31,234.52x = 958,194,466.39
  5. Step 5: Solve for x
    x = 958,194,466.39/31,234.52
  6. Step 6: Final answer
    x = 30,677.42

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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.