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Finding the Fourth Proportional to 34,640.96, 47,805.60 and 19,736

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Solution

The fourth proportional to 34,640.96, 47,805.60 and 19,736 is: 27,236.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,640.96 : 47,805.60 = 19,736 : x
  2. Step 2: Convert to fraction form
    34,640.96/47,805.60 = 19,736/x
  3. Step 3: Cross multiply
    34,640.96x = 47,805.60 × 19,736
  4. Step 4: Simplify right side
    34,640.96x = 943,491,321.60
  5. Step 5: Solve for x
    x = 943,491,321.60/34,640.96
  6. Step 6: Final answer
    x = 27,236.29

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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.