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Finding the Fourth Proportional to 31,813.24, 43,900.22 and 19,876

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Solution

The fourth proportional to 31,813.24, 43,900.22 and 19,876 is: 27,427.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,813.24 : 43,900.22 = 19,876 : x
  2. Step 2: Convert to fraction form
    31,813.24/43,900.22 = 19,876/x
  3. Step 3: Cross multiply
    31,813.24x = 43,900.22 × 19,876
  4. Step 4: Simplify right side
    31,813.24x = 872,560,772.72
  5. Step 5: Solve for x
    x = 872,560,772.72/31,813.24
  6. Step 6: Final answer
    x = 27,427.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.