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Finding the Fourth Proportional to 29,744, 41,047.20 and 16,496

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Solution

The fourth proportional to 29,744, 41,047.20 and 16,496 is: 22,764.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,744 : 41,047.20 = 16,496 : x
  2. Step 2: Convert to fraction form
    29,744/41,047.20 = 16,496/x
  3. Step 3: Cross multiply
    29,744x = 41,047.20 × 16,496
  4. Step 4: Simplify right side
    29,744x = 677,114,611.20
  5. Step 5: Solve for x
    x = 677,114,611.20/29,744
  6. Step 6: Final answer
    x = 22,764.75

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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.