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Finding the Fourth Proportional to 81,842.96, 112,453.78 and 65,046.80

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Solution

The fourth proportional to 81,842.96, 112,453.78 and 65,046.80 is: 89,375.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,842.96 : 112,453.78 = 65,046.80 : x
  2. Step 2: Convert to fraction form
    81,842.96/112,453.78 = 65,046.80/x
  3. Step 3: Cross multiply
    81,842.96x = 112,453.78 × 65,046.80
  4. Step 4: Simplify right side
    81,842.96x = 7,314,758,536.90
  5. Step 5: Solve for x
    x = 7,314,758,536.90/81,842.96
  6. Step 6: Final answer
    x = 89,375.54

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.