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Finding the Fourth Proportional to 31,817.69, 43,930.37 and 19,886.39

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Solution

The fourth proportional to 31,817.69, 43,930.37 and 19,886.39 is: 27,456.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,817.69 : 43,930.37 = 19,886.39 : x
  2. Step 2: Convert to fraction form
    31,817.69/43,930.37 = 19,886.39/x
  3. Step 3: Cross multiply
    31,817.69x = 43,930.37 × 19,886.39
  4. Step 4: Simplify right side
    31,817.69x = 873,616,300.73
  5. Step 5: Solve for x
    x = 873,616,300.73/31,817.69
  6. Step 6: Final answer
    x = 27,456.94

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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.