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Finding the Fourth Proportional to 31,882.86, 43,998.21 and 17,735.67

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Solution

The fourth proportional to 31,882.86, 43,998.21 and 17,735.67 is: 24,475.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,882.86 : 43,998.21 = 17,735.67 : x
  2. Step 2: Convert to fraction form
    31,882.86/43,998.21 = 17,735.67/x
  3. Step 3: Cross multiply
    31,882.86x = 43,998.21 × 17,735.67
  4. Step 4: Simplify right side
    31,882.86x = 780,337,733.15
  5. Step 5: Solve for x
    x = 780,337,733.15/31,882.86
  6. Step 6: Final answer
    x = 24,475.15

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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.