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Finding the Fourth Proportional to 29,728.14, 41,029.06 and 18,401.28

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Solution

The fourth proportional to 29,728.14, 41,029.06 and 18,401.28 is: 25,396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,728.14 : 41,029.06 = 18,401.28 : x
  2. Step 2: Convert to fraction form
    29,728.14/41,029.06 = 18,401.28/x
  3. Step 3: Cross multiply
    29,728.14x = 41,029.06 × 18,401.28
  4. Step 4: Simplify right side
    29,728.14x = 754,987,221.20
  5. Step 5: Solve for x
    x = 754,987,221.20/29,728.14
  6. Step 6: Final answer
    x = 25,396.38

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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.