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Finding the Fourth Proportional to 31,773.56, 47,660.52 and 8,399.75

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Solution

The fourth proportional to 31,773.56, 47,660.52 and 8,399.75 is: 12,599.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,773.56 : 47,660.52 = 8,399.75 : x
  2. Step 2: Convert to fraction form
    31,773.56/47,660.52 = 8,399.75/x
  3. Step 3: Cross multiply
    31,773.56x = 47,660.52 × 8,399.75
  4. Step 4: Simplify right side
    31,773.56x = 400,336,452.87
  5. Step 5: Solve for x
    x = 400,336,452.87/31,773.56
  6. Step 6: Final answer
    x = 12,599.67

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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.