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Finding the Fourth Proportional to 100,567.24, 150,846.22 and 29,487

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Solution

The fourth proportional to 100,567.24, 150,846.22 and 29,487 is: 44,229.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,567.24 : 150,846.22 = 29,487 : x
  2. Step 2: Convert to fraction form
    100,567.24/150,846.22 = 29,487/x
  3. Step 3: Cross multiply
    100,567.24x = 150,846.22 × 29,487
  4. Step 4: Simplify right side
    100,567.24x = 4,448,002,489.14
  5. Step 5: Solve for x
    x = 4,448,002,489.14/100,567.24
  6. Step 6: Final answer
    x = 44,229.14

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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.