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Finding the Fourth Proportional to 31,673.35, 47,511.56 and 8,299.81

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Solution

The fourth proportional to 31,673.35, 47,511.56 and 8,299.81 is: 12,450.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,673.35 : 47,511.56 = 8,299.81 : x
  2. Step 2: Convert to fraction form
    31,673.35/47,511.56 = 8,299.81/x
  3. Step 3: Cross multiply
    31,673.35x = 47,511.56 × 8,299.81
  4. Step 4: Simplify right side
    31,673.35x = 394,336,879.30
  5. Step 5: Solve for x
    x = 394,336,879.30/31,673.35
  6. Step 6: Final answer
    x = 12,450.12

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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.