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Finding the Fourth Proportional to 50,523.82, 69,736.32 and 29,845.43

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Solution

The fourth proportional to 50,523.82, 69,736.32 and 29,845.43 is: 41,194.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,523.82 : 69,736.32 = 29,845.43 : x
  2. Step 2: Convert to fraction form
    50,523.82/69,736.32 = 29,845.43/x
  3. Step 3: Cross multiply
    50,523.82x = 69,736.32 × 29,845.43
  4. Step 4: Simplify right side
    50,523.82x = 2,081,310,631.36
  5. Step 5: Solve for x
    x = 2,081,310,631.36/50,523.82
  6. Step 6: Final answer
    x = 41,194.64

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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.