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Finding the Fourth Proportional to 31,650.39, 43,672.41 and 17,500.50

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Solution

The fourth proportional to 31,650.39, 43,672.41 and 17,500.50 is: 24,147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,650.39 : 43,672.41 = 17,500.50 : x
  2. Step 2: Convert to fraction form
    31,650.39/43,672.41 = 17,500.50/x
  3. Step 3: Cross multiply
    31,650.39x = 43,672.41 × 17,500.50
  4. Step 4: Simplify right side
    31,650.39x = 764,289,011.21
  5. Step 5: Solve for x
    x = 764,289,011.21/31,650.39
  6. Step 6: Final answer
    x = 24,147.85

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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.