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Finding the Fourth Proportional to 31,249.41, 46,879.59 and 20,166.78

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Solution

The fourth proportional to 31,249.41, 46,879.59 and 20,166.78 is: 30,253.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,249.41 : 46,879.59 = 20,166.78 : x
  2. Step 2: Convert to fraction form
    31,249.41/46,879.59 = 20,166.78/x
  3. Step 3: Cross multiply
    31,249.41x = 46,879.59 × 20,166.78
  4. Step 4: Simplify right side
    31,249.41x = 945,410,378.02
  5. Step 5: Solve for x
    x = 945,410,378.02/31,249.41
  6. Step 6: Final answer
    x = 30,253.70

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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.