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Finding the Fourth Proportional to 57,078.56, 78,766.37 and 31,584.48

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Solution

The fourth proportional to 57,078.56, 78,766.37 and 31,584.48 is: 43,585.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,078.56 : 78,766.37 = 31,584.48 : x
  2. Step 2: Convert to fraction form
    57,078.56/78,766.37 = 31,584.48/x
  3. Step 3: Cross multiply
    57,078.56x = 78,766.37 × 31,584.48
  4. Step 4: Simplify right side
    57,078.56x = 2,487,794,837.94
  5. Step 5: Solve for x
    x = 2,487,794,837.94/57,078.56
  6. Step 6: Final answer
    x = 43,585.45

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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.