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Finding the Fourth Proportional to 76,997.67, 115,500.66 and 24,411.27

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Solution

The fourth proportional to 76,997.67, 115,500.66 and 24,411.27 is: 36,618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,997.67 : 115,500.66 = 24,411.27 : x
  2. Step 2: Convert to fraction form
    76,997.67/115,500.66 = 24,411.27/x
  3. Step 3: Cross multiply
    76,997.67x = 115,500.66 × 24,411.27
  4. Step 4: Simplify right side
    76,997.67x = 2,819,517,796.44
  5. Step 5: Solve for x
    x = 2,819,517,796.44/76,997.67
  6. Step 6: Final answer
    x = 36,618.22

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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.