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Finding the Fourth Proportional to 54,234.96, 74,815.56 and 31,866

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Solution

The fourth proportional to 54,234.96, 74,815.56 and 31,866 is: 43,958.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,234.96 : 74,815.56 = 31,866 : x
  2. Step 2: Convert to fraction form
    54,234.96/74,815.56 = 31,866/x
  3. Step 3: Cross multiply
    54,234.96x = 74,815.56 × 31,866
  4. Step 4: Simplify right side
    54,234.96x = 2,384,072,634.96
  5. Step 5: Solve for x
    x = 2,384,072,634.96/54,234.96
  6. Step 6: Final answer
    x = 43,958.23

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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.