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Finding the Fourth Proportional to 30,399.68, 41,949.42 and 17,822

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Solution

The fourth proportional to 30,399.68, 41,949.42 and 17,822 is: 24,593.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,399.68 : 41,949.42 = 17,822 : x
  2. Step 2: Convert to fraction form
    30,399.68/41,949.42 = 17,822/x
  3. Step 3: Cross multiply
    30,399.68x = 41,949.42 × 17,822
  4. Step 4: Simplify right side
    30,399.68x = 747,622,563.24
  5. Step 5: Solve for x
    x = 747,622,563.24/30,399.68
  6. Step 6: Final answer
    x = 24,593.11

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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.