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Finding the Fourth Proportional to 27,806.84, 41,671.26 and 19,979

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Solution

The fourth proportional to 27,806.84, 41,671.26 and 19,979 is: 29,940.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,806.84 : 41,671.26 = 19,979 : x
  2. Step 2: Convert to fraction form
    27,806.84/41,671.26 = 19,979/x
  3. Step 3: Cross multiply
    27,806.84x = 41,671.26 × 19,979
  4. Step 4: Simplify right side
    27,806.84x = 832,550,103.54
  5. Step 5: Solve for x
    x = 832,550,103.54/27,806.84
  6. Step 6: Final answer
    x = 29,940.48

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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.