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Finding the Fourth Proportional to 27,997, 42,002.04 and 9,529

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Solution

The fourth proportional to 27,997, 42,002.04 and 9,529 is: 14,295.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,997 : 42,002.04 = 9,529 : x
  2. Step 2: Convert to fraction form
    27,997/42,002.04 = 9,529/x
  3. Step 3: Cross multiply
    27,997x = 42,002.04 × 9,529
  4. Step 4: Simplify right side
    27,997x = 400,237,439.16
  5. Step 5: Solve for x
    x = 400,237,439.16/27,997
  6. Step 6: Final answer
    x = 14,295.73

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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.