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Finding the Fourth Proportional to 77,211.36, 115,849.44 and 32,847.66

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Solution

The fourth proportional to 77,211.36, 115,849.44 and 32,847.66 is: 49,285.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,211.36 : 115,849.44 = 32,847.66 : x
  2. Step 2: Convert to fraction form
    77,211.36/115,849.44 = 32,847.66/x
  3. Step 3: Cross multiply
    77,211.36x = 115,849.44 × 32,847.66
  4. Step 4: Simplify right side
    77,211.36x = 3,805,383,016.31
  5. Step 5: Solve for x
    x = 3,805,383,016.31/77,211.36
  6. Step 6: Final answer
    x = 49,285.27

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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.