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Finding the Fourth Proportional to 57,073.38, 78,759.42 and 31,579.44

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Solution

The fourth proportional to 57,073.38, 78,759.42 and 31,579.44 is: 43,578.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,073.38 : 78,759.42 = 31,579.44 : x
  2. Step 2: Convert to fraction form
    57,073.38/78,759.42 = 31,579.44/x
  3. Step 3: Cross multiply
    57,073.38x = 78,759.42 × 31,579.44
  4. Step 4: Simplify right side
    57,073.38x = 2,487,178,378.32
  5. Step 5: Solve for x
    x = 2,487,178,378.32/57,073.38
  6. Step 6: Final answer
    x = 43,578.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.