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Finding the Fourth Proportional to 31,198.96, 46,757.04 and 13,649.68

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Solution

The fourth proportional to 31,198.96, 46,757.04 and 13,649.68 is: 20,456.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,198.96 : 46,757.04 = 13,649.68 : x
  2. Step 2: Convert to fraction form
    31,198.96/46,757.04 = 13,649.68/x
  3. Step 3: Cross multiply
    31,198.96x = 46,757.04 × 13,649.68
  4. Step 4: Simplify right side
    31,198.96x = 638,218,633.75
  5. Step 5: Solve for x
    x = 638,218,633.75/31,198.96
  6. Step 6: Final answer
    x = 20,456.41

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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.