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Finding the Fourth Proportional to 86,206.50, 129,309.78 and 27,046.80

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Solution

The fourth proportional to 86,206.50, 129,309.78 and 27,046.80 is: 40,570.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,206.50 : 129,309.78 = 27,046.80 : x
  2. Step 2: Convert to fraction form
    86,206.50/129,309.78 = 27,046.80/x
  3. Step 3: Cross multiply
    86,206.50x = 129,309.78 × 27,046.80
  4. Step 4: Simplify right side
    86,206.50x = 3,497,415,757.70
  5. Step 5: Solve for x
    x = 3,497,415,757.70/86,206.50
  6. Step 6: Final answer
    x = 40,570.21

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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.