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Finding the Fourth Proportional to 31,879.72, 43,989.72 and 17,729.84

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Solution

The fourth proportional to 31,879.72, 43,989.72 and 17,729.84 is: 24,464.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,879.72 : 43,989.72 = 17,729.84 : x
  2. Step 2: Convert to fraction form
    31,879.72/43,989.72 = 17,729.84/x
  3. Step 3: Cross multiply
    31,879.72x = 43,989.72 × 17,729.84
  4. Step 4: Simplify right side
    31,879.72x = 779,930,697.24
  5. Step 5: Solve for x
    x = 779,930,697.24/31,879.72
  6. Step 6: Final answer
    x = 24,464.79

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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.