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Finding the Fourth Proportional to 50,138.70, 69,173.10 and 29,996.16

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Solution

The fourth proportional to 50,138.70, 69,173.10 and 29,996.16 is: 41,383.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,138.70 : 69,173.10 = 29,996.16 : x
  2. Step 2: Convert to fraction form
    50,138.70/69,173.10 = 29,996.16/x
  3. Step 3: Cross multiply
    50,138.70x = 69,173.10 × 29,996.16
  4. Step 4: Simplify right side
    50,138.70x = 2,074,927,375.30
  5. Step 5: Solve for x
    x = 2,074,927,375.30/50,138.70
  6. Step 6: Final answer
    x = 41,383.75

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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.