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Finding the Fourth Proportional to 37,832.85, 52,163.09 and 23,661.09

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Solution

The fourth proportional to 37,832.85, 52,163.09 and 23,661.09 is: 32,623.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,832.85 : 52,163.09 = 23,661.09 : x
  2. Step 2: Convert to fraction form
    37,832.85/52,163.09 = 23,661.09/x
  3. Step 3: Cross multiply
    37,832.85x = 52,163.09 × 23,661.09
  4. Step 4: Simplify right side
    37,832.85x = 1,234,235,448.86
  5. Step 5: Solve for x
    x = 1,234,235,448.86/37,832.85
  6. Step 6: Final answer
    x = 32,623.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.