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Finding the Fourth Proportional to 33,563.48, 50,276.10 and 19,679

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Solution

The fourth proportional to 33,563.48, 50,276.10 and 19,679 is: 29,477.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,563.48 : 50,276.10 = 19,679 : x
  2. Step 2: Convert to fraction form
    33,563.48/50,276.10 = 19,679/x
  3. Step 3: Cross multiply
    33,563.48x = 50,276.10 × 19,679
  4. Step 4: Simplify right side
    33,563.48x = 989,383,371.90
  5. Step 5: Solve for x
    x = 989,383,371.90/33,563.48
  6. Step 6: Final answer
    x = 29,477.97

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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.