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Finding the Fourth Proportional to 33,732, 50,563.44 and 14,022

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Solution

The fourth proportional to 33,732, 50,563.44 and 14,022 is: 21,018.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,732 : 50,563.44 = 14,022 : x
  2. Step 2: Convert to fraction form
    33,732/50,563.44 = 14,022/x
  3. Step 3: Cross multiply
    33,732x = 50,563.44 × 14,022
  4. Step 4: Simplify right side
    33,732x = 709,000,555.68
  5. Step 5: Solve for x
    x = 709,000,555.68/33,732
  6. Step 6: Final answer
    x = 21,018.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.