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Finding the Fourth Proportional to 31,405.41, 47,096.37 and 13,865.67

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Solution

The fourth proportional to 31,405.41, 47,096.37 and 13,865.67 is: 20,793.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,405.41 : 47,096.37 = 13,865.67 : x
  2. Step 2: Convert to fraction form
    31,405.41/47,096.37 = 13,865.67/x
  3. Step 3: Cross multiply
    31,405.41x = 47,096.37 × 13,865.67
  4. Step 4: Simplify right side
    31,405.41x = 653,022,724.62
  5. Step 5: Solve for x
    x = 653,022,724.62/31,405.41
  6. Step 6: Final answer
    x = 20,793.32

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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.