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Finding the Fourth Proportional to 86,453.02, 129,642.81 and 33,854.14

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Solution

The fourth proportional to 86,453.02, 129,642.81 and 33,854.14 is: 50,766.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,453.02 : 129,642.81 = 33,854.14 : x
  2. Step 2: Convert to fraction form
    86,453.02/129,642.81 = 33,854.14/x
  3. Step 3: Cross multiply
    86,453.02x = 129,642.81 × 33,854.14
  4. Step 4: Simplify right side
    86,453.02x = 4,388,945,839.73
  5. Step 5: Solve for x
    x = 4,388,945,839.73/86,453.02
  6. Step 6: Final answer
    x = 50,766.83

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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.