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Finding the Fourth Proportional to 33,712, 50,544.96 and 20,568.96

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Solution

The fourth proportional to 33,712, 50,544.96 and 20,568.96 is: 30,839.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,712 : 50,544.96 = 20,568.96 : x
  2. Step 2: Convert to fraction form
    33,712/50,544.96 = 20,568.96/x
  3. Step 3: Cross multiply
    33,712x = 50,544.96 × 20,568.96
  4. Step 4: Simplify right side
    33,712x = 1,039,657,260.44
  5. Step 5: Solve for x
    x = 1,039,657,260.44/33,712
  6. Step 6: Final answer
    x = 30,839.38

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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.