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Finding the Fourth Proportional to 31,676.31, 47,521.24 and 11,685.87

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Solution

The fourth proportional to 31,676.31, 47,521.24 and 11,685.87 is: 17,531.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,676.31 : 47,521.24 = 11,685.87 : x
  2. Step 2: Convert to fraction form
    31,676.31/47,521.24 = 11,685.87/x
  3. Step 3: Cross multiply
    31,676.31x = 47,521.24 × 11,685.87
  4. Step 4: Simplify right side
    31,676.31x = 555,327,003.66
  5. Step 5: Solve for x
    x = 555,327,003.66/31,676.31
  6. Step 6: Final answer
    x = 17,531.30

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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.