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Finding the Fourth Proportional to 36,906.42, 50,931 and 20,139.42

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Solution

The fourth proportional to 36,906.42, 50,931 and 20,139.42 is: 27,792.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,906.42 : 50,931 = 20,139.42 : x
  2. Step 2: Convert to fraction form
    36,906.42/50,931 = 20,139.42/x
  3. Step 3: Cross multiply
    36,906.42x = 50,931 × 20,139.42
  4. Step 4: Simplify right side
    36,906.42x = 1,025,720,800.02
  5. Step 5: Solve for x
    x = 1,025,720,800.02/36,906.42
  6. Step 6: Final answer
    x = 27,792.48

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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.