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Finding the Fourth Proportional to 31,676.15, 47,525.09 and 11,960.34

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Solution

The fourth proportional to 31,676.15, 47,525.09 and 11,960.34 is: 17,944.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,676.15 : 47,525.09 = 11,960.34 : x
  2. Step 2: Convert to fraction form
    31,676.15/47,525.09 = 11,960.34/x
  3. Step 3: Cross multiply
    31,676.15x = 47,525.09 × 11,960.34
  4. Step 4: Simplify right side
    31,676.15x = 568,416,175.13
  5. Step 5: Solve for x
    x = 568,416,175.13/31,676.15
  6. Step 6: Final answer
    x = 17,944.61

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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.