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Finding the Fourth Proportional to 29,997, 44,997.72 and 11,529

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Solution

The fourth proportional to 29,997, 44,997.72 and 11,529 is: 17,294.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,997 : 44,997.72 = 11,529 : x
  2. Step 2: Convert to fraction form
    29,997/44,997.72 = 11,529/x
  3. Step 3: Cross multiply
    29,997x = 44,997.72 × 11,529
  4. Step 4: Simplify right side
    29,997x = 518,778,713.88
  5. Step 5: Solve for x
    x = 518,778,713.88/29,997
  6. Step 6: Final answer
    x = 17,294.35

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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.