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Finding the Fourth Proportional to 79,997, 120,014.94 and 24,593

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Solution

The fourth proportional to 79,997, 120,014.94 and 24,593 is: 36,895.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,997 : 120,014.94 = 24,593 : x
  2. Step 2: Convert to fraction form
    79,997/120,014.94 = 24,593/x
  3. Step 3: Cross multiply
    79,997x = 120,014.94 × 24,593
  4. Step 4: Simplify right side
    79,997x = 2,951,527,419.42
  5. Step 5: Solve for x
    x = 2,951,527,419.42/79,997
  6. Step 6: Final answer
    x = 36,895.48

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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.