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Finding the Fourth Proportional to 33,649, 50,435.22 and 20,472.32

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Solution

The fourth proportional to 33,649, 50,435.22 and 20,472.32 is: 30,685.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,649 : 50,435.22 = 20,472.32 : x
  2. Step 2: Convert to fraction form
    33,649/50,435.22 = 20,472.32/x
  3. Step 3: Cross multiply
    33,649x = 50,435.22 × 20,472.32
  4. Step 4: Simplify right side
    33,649x = 1,032,525,963.11
  5. Step 5: Solve for x
    x = 1,032,525,963.11/33,649
  6. Step 6: Final answer
    x = 30,685.19

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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.