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Finding the Fourth Proportional to 57,205.32, 78,939.36 and 31,711.44

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Solution

The fourth proportional to 57,205.32, 78,939.36 and 31,711.44 is: 43,759.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,205.32 : 78,939.36 = 31,711.44 : x
  2. Step 2: Convert to fraction form
    57,205.32/78,939.36 = 31,711.44/x
  3. Step 3: Cross multiply
    57,205.32x = 78,939.36 × 31,711.44
  4. Step 4: Simplify right side
    57,205.32x = 2,503,280,778.28
  5. Step 5: Solve for x
    x = 2,503,280,778.28/57,205.32
  6. Step 6: Final answer
    x = 43,759.58

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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.