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Finding the Fourth Proportional to 33,649, 50,439.30 and 13,938.28

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Solution

The fourth proportional to 33,649, 50,439.30 and 13,938.28 is: 20,893.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,649 : 50,439.30 = 13,938.28 : x
  2. Step 2: Convert to fraction form
    33,649/50,439.30 = 13,938.28/x
  3. Step 3: Cross multiply
    33,649x = 50,439.30 × 13,938.28
  4. Step 4: Simplify right side
    33,649x = 703,037,086.40
  5. Step 5: Solve for x
    x = 703,037,086.40/33,649
  6. Step 6: Final answer
    x = 20,893.25

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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.