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Finding the Fourth Proportional to 33,563.84, 50,347.30 and 23,747

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Solution

The fourth proportional to 33,563.84, 50,347.30 and 23,747 is: 35,621.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,563.84 : 50,347.30 = 23,747 : x
  2. Step 2: Convert to fraction form
    33,563.84/50,347.30 = 23,747/x
  3. Step 3: Cross multiply
    33,563.84x = 50,347.30 × 23,747
  4. Step 4: Simplify right side
    33,563.84x = 1,195,597,333.10
  5. Step 5: Solve for x
    x = 1,195,597,333.10/33,563.84
  6. Step 6: Final answer
    x = 35,621.59

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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.