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Finding the Fourth Proportional to 31,694.86, 43,699.17 and 20,344.33

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Solution

The fourth proportional to 31,694.86, 43,699.17 and 20,344.33 is: 28,049.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,694.86 : 43,699.17 = 20,344.33 : x
  2. Step 2: Convert to fraction form
    31,694.86/43,699.17 = 20,344.33/x
  3. Step 3: Cross multiply
    31,694.86x = 43,699.17 × 20,344.33
  4. Step 4: Simplify right side
    31,694.86x = 889,030,335.21
  5. Step 5: Solve for x
    x = 889,030,335.21/31,694.86
  6. Step 6: Final answer
    x = 28,049.67

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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.