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Finding the Fourth Proportional to 31,099.14, 46,639.14 and 8,906.56

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Solution

The fourth proportional to 31,099.14, 46,639.14 and 8,906.56 is: 13,357.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,099.14 : 46,639.14 = 8,906.56 : x
  2. Step 2: Convert to fraction form
    31,099.14/46,639.14 = 8,906.56/x
  3. Step 3: Cross multiply
    31,099.14x = 46,639.14 × 8,906.56
  4. Step 4: Simplify right side
    31,099.14x = 415,394,198.86
  5. Step 5: Solve for x
    x = 415,394,198.86/31,099.14
  6. Step 6: Final answer
    x = 13,357.10

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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.