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Finding the Fourth Proportional to 36,991.92, 55,493.16 and 12,023.94

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Solution

The fourth proportional to 36,991.92, 55,493.16 and 12,023.94 is: 18,037.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,991.92 : 55,493.16 = 12,023.94 : x
  2. Step 2: Convert to fraction form
    36,991.92/55,493.16 = 12,023.94/x
  3. Step 3: Cross multiply
    36,991.92x = 55,493.16 × 12,023.94
  4. Step 4: Simplify right side
    36,991.92x = 667,246,426.25
  5. Step 5: Solve for x
    x = 667,246,426.25/36,991.92
  6. Step 6: Final answer
    x = 18,037.63

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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.