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Finding the Fourth Proportional to 36,675.96, 50,418.23 and 31,552.80

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Solution

The fourth proportional to 36,675.96, 50,418.23 and 31,552.80 is: 43,375.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,675.96 : 50,418.23 = 31,552.80 : x
  2. Step 2: Convert to fraction form
    36,675.96/50,418.23 = 31,552.80/x
  3. Step 3: Cross multiply
    36,675.96x = 50,418.23 × 31,552.80
  4. Step 4: Simplify right side
    36,675.96x = 1,590,836,327.54
  5. Step 5: Solve for x
    x = 1,590,836,327.54/36,675.96
  6. Step 6: Final answer
    x = 43,375.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.