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Finding the Fourth Proportional to 31,481.34, 47,268.54 and 21,016.56

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Solution

The fourth proportional to 31,481.34, 47,268.54 and 21,016.56 is: 31,555.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,481.34 : 47,268.54 = 21,016.56 : x
  2. Step 2: Convert to fraction form
    31,481.34/47,268.54 = 21,016.56/x
  3. Step 3: Cross multiply
    31,481.34x = 47,268.54 × 21,016.56
  4. Step 4: Simplify right side
    31,481.34x = 993,422,107.02
  5. Step 5: Solve for x
    x = 993,422,107.02/31,481.34
  6. Step 6: Final answer
    x = 31,555.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.