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Finding the Fourth Proportional to 57,083.54, 78,772.49 and 31,589.45

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Solution

The fourth proportional to 57,083.54, 78,772.49 and 31,589.45 is: 43,591.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,083.54 : 78,772.49 = 31,589.45 : x
  2. Step 2: Convert to fraction form
    57,083.54/78,772.49 = 31,589.45/x
  3. Step 3: Cross multiply
    57,083.54x = 78,772.49 × 31,589.45
  4. Step 4: Simplify right side
    57,083.54x = 2,488,379,082.42
  5. Step 5: Solve for x
    x = 2,488,379,082.42/57,083.54
  6. Step 6: Final answer
    x = 43,591.89

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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.