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Finding the Fourth Proportional to 85,589.31, 128,115 and 58,778.31

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Solution

The fourth proportional to 85,589.31, 128,115 and 58,778.31 is: 87,982.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,589.31 : 128,115 = 58,778.31 : x
  2. Step 2: Convert to fraction form
    85,589.31/128,115 = 58,778.31/x
  3. Step 3: Cross multiply
    85,589.31x = 128,115 × 58,778.31
  4. Step 4: Simplify right side
    85,589.31x = 7,530,383,185.65
  5. Step 5: Solve for x
    x = 7,530,383,185.65/85,589.31
  6. Step 6: Final answer
    x = 87,982.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.