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Finding the Fourth Proportional to 31,649.27, 47,431.98 and 16,826.27

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Solution

The fourth proportional to 31,649.27, 47,431.98 and 16,826.27 is: 25,217.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,649.27 : 47,431.98 = 16,826.27 : x
  2. Step 2: Convert to fraction form
    31,649.27/47,431.98 = 16,826.27/x
  3. Step 3: Cross multiply
    31,649.27x = 47,431.98 × 16,826.27
  4. Step 4: Simplify right side
    31,649.27x = 798,103,064.95
  5. Step 5: Solve for x
    x = 798,103,064.95/31,649.27
  6. Step 6: Final answer
    x = 25,217.11

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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.