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Finding the Fourth Proportional to 29,882.97, 44,814 and 8,817.42

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Solution

The fourth proportional to 29,882.97, 44,814 and 8,817.42 is: 13,223.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,882.97 : 44,814 = 8,817.42 : x
  2. Step 2: Convert to fraction form
    29,882.97/44,814 = 8,817.42/x
  3. Step 3: Cross multiply
    29,882.97x = 44,814 × 8,817.42
  4. Step 4: Simplify right side
    29,882.97x = 395,143,859.88
  5. Step 5: Solve for x
    x = 395,143,859.88/29,882.97
  6. Step 6: Final answer
    x = 13,223.05

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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.