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Finding the Fourth Proportional to 36,929.16, 50,961.97 and 20,162.16

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Solution

The fourth proportional to 36,929.16, 50,961.97 and 20,162.16 is: 27,823.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,929.16 : 50,961.97 = 20,162.16 : x
  2. Step 2: Convert to fraction form
    36,929.16/50,961.97 = 20,162.16/x
  3. Step 3: Cross multiply
    36,929.16x = 50,961.97 × 20,162.16
  4. Step 4: Simplify right side
    36,929.16x = 1,027,503,138.25
  5. Step 5: Solve for x
    x = 1,027,503,138.25/36,929.16
  6. Step 6: Final answer
    x = 27,823.63

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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.