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Finding the Fourth Proportional to 31,481.94, 47,217.43 and 11,760.67

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Solution

The fourth proportional to 31,481.94, 47,217.43 and 11,760.67 is: 17,638.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,481.94 : 47,217.43 = 11,760.67 : x
  2. Step 2: Convert to fraction form
    31,481.94/47,217.43 = 11,760.67/x
  3. Step 3: Cross multiply
    31,481.94x = 47,217.43 × 11,760.67
  4. Step 4: Simplify right side
    31,481.94x = 555,308,612.48
  5. Step 5: Solve for x
    x = 555,308,612.48/31,481.94
  6. Step 6: Final answer
    x = 17,638.96

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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.