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Finding the Fourth Proportional to 31,179.92, 46,768.36 and 11,456.96

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Solution

The fourth proportional to 31,179.92, 46,768.36 and 11,456.96 is: 17,184.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,179.92 : 46,768.36 = 11,456.96 : x
  2. Step 2: Convert to fraction form
    31,179.92/46,768.36 = 11,456.96/x
  3. Step 3: Cross multiply
    31,179.92x = 46,768.36 × 11,456.96
  4. Step 4: Simplify right side
    31,179.92x = 535,823,229.79
  5. Step 5: Solve for x
    x = 535,823,229.79/31,179.92
  6. Step 6: Final answer
    x = 17,184.88

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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.