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Finding the Fourth Proportional to 36,231.64, 49,978.48 and 22,781.60

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Solution

The fourth proportional to 36,231.64, 49,978.48 and 22,781.60 is: 31,425.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,231.64 : 49,978.48 = 22,781.60 : x
  2. Step 2: Convert to fraction form
    36,231.64/49,978.48 = 22,781.60/x
  3. Step 3: Cross multiply
    36,231.64x = 49,978.48 × 22,781.60
  4. Step 4: Simplify right side
    36,231.64x = 1,138,589,739.97
  5. Step 5: Solve for x
    x = 1,138,589,739.97/36,231.64
  6. Step 6: Final answer
    x = 31,425.29

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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.