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Finding the Fourth Proportional to 57,081.30, 78,768.56 and 31,234.60

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Solution

The fourth proportional to 57,081.30, 78,768.56 and 31,234.60 is: 43,101.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,081.30 : 78,768.56 = 31,234.60 : x
  2. Step 2: Convert to fraction form
    57,081.30/78,768.56 = 31,234.60/x
  3. Step 3: Cross multiply
    57,081.30x = 78,768.56 × 31,234.60
  4. Step 4: Simplify right side
    57,081.30x = 2,460,304,640.72
  5. Step 5: Solve for x
    x = 2,460,304,640.72/57,081.30
  6. Step 6: Final answer
    x = 43,101.77

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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.