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Finding the Fourth Proportional to 31,442.50, 43,380.06 and 21,353.44

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Solution

The fourth proportional to 31,442.50, 43,380.06 and 21,353.44 is: 29,460.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,442.50 : 43,380.06 = 21,353.44 : x
  2. Step 2: Convert to fraction form
    31,442.50/43,380.06 = 21,353.44/x
  3. Step 3: Cross multiply
    31,442.50x = 43,380.06 × 21,353.44
  4. Step 4: Simplify right side
    31,442.50x = 926,313,508.41
  5. Step 5: Solve for x
    x = 926,313,508.41/31,442.50
  6. Step 6: Final answer
    x = 29,460.56

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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.