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Finding the Fourth Proportional to 50,892.32, 70,202.03 and 31,738.85

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Solution

The fourth proportional to 50,892.32, 70,202.03 and 31,738.85 is: 43,781.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,892.32 : 70,202.03 = 31,738.85 : x
  2. Step 2: Convert to fraction form
    50,892.32/70,202.03 = 31,738.85/x
  3. Step 3: Cross multiply
    50,892.32x = 70,202.03 × 31,738.85
  4. Step 4: Simplify right side
    50,892.32x = 2,228,131,716.68
  5. Step 5: Solve for x
    x = 2,228,131,716.68/50,892.32
  6. Step 6: Final answer
    x = 43,781.29

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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.