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Finding the Fourth Proportional to 57,082.37, 78,771.72 and 31,589.81

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Solution

The fourth proportional to 57,082.37, 78,771.72 and 31,589.81 is: 43,592.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,082.37 : 78,771.72 = 31,589.81 : x
  2. Step 2: Convert to fraction form
    57,082.37/78,771.72 = 31,589.81/x
  3. Step 3: Cross multiply
    57,082.37x = 78,771.72 × 31,589.81
  4. Step 4: Simplify right side
    57,082.37x = 2,488,383,392.78
  5. Step 5: Solve for x
    x = 2,488,383,392.78/57,082.37
  6. Step 6: Final answer
    x = 43,592.86

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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.