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Finding the Fourth Proportional to 54,319.89, 74,958.34 and 31,662.57

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Solution

The fourth proportional to 54,319.89, 74,958.34 and 31,662.57 is: 43,692.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,319.89 : 74,958.34 = 31,662.57 : x
  2. Step 2: Convert to fraction form
    54,319.89/74,958.34 = 31,662.57/x
  3. Step 3: Cross multiply
    54,319.89x = 74,958.34 × 31,662.57
  4. Step 4: Simplify right side
    54,319.89x = 2,373,373,687.33
  5. Step 5: Solve for x
    x = 2,373,373,687.33/54,319.89
  6. Step 6: Final answer
    x = 43,692.53

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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.