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Finding the Fourth Proportional to 86,466.29, 129,706.11 and 33,183.78

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Solution

The fourth proportional to 86,466.29, 129,706.11 and 33,183.78 is: 49,778.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,466.29 : 129,706.11 = 33,183.78 : x
  2. Step 2: Convert to fraction form
    86,466.29/129,706.11 = 33,183.78/x
  3. Step 3: Cross multiply
    86,466.29x = 129,706.11 × 33,183.78
  4. Step 4: Simplify right side
    86,466.29x = 4,304,138,532.50
  5. Step 5: Solve for x
    x = 4,304,138,532.50/86,466.29
  6. Step 6: Final answer
    x = 49,778.23

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Why These Related Problems?

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