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Finding the Fourth Proportional to 29,452, 40,643.84 and 16,204

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Solution

The fourth proportional to 29,452, 40,643.84 and 16,204 is: 22,361.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,452 : 40,643.84 = 16,204 : x
  2. Step 2: Convert to fraction form
    29,452/40,643.84 = 16,204/x
  3. Step 3: Cross multiply
    29,452x = 40,643.84 × 16,204
  4. Step 4: Simplify right side
    29,452x = 658,592,783.36
  5. Step 5: Solve for x
    x = 658,592,783.36/29,452
  6. Step 6: Final answer
    x = 22,361.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.