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Finding the Fourth Proportional to 36,514.54, 50,408.22 and 23,099.32

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Solution

The fourth proportional to 36,514.54, 50,408.22 and 23,099.32 is: 31,888.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,514.54 : 50,408.22 = 23,099.32 : x
  2. Step 2: Convert to fraction form
    36,514.54/50,408.22 = 23,099.32/x
  3. Step 3: Cross multiply
    36,514.54x = 50,408.22 × 23,099.32
  4. Step 4: Simplify right side
    36,514.54x = 1,164,395,604.41
  5. Step 5: Solve for x
    x = 1,164,395,604.41/36,514.54
  6. Step 6: Final answer
    x = 31,888.55

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