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Finding the Fourth Proportional to 55,136.98, 82,694.54 and 15,694.44

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Solution

The fourth proportional to 55,136.98, 82,694.54 and 15,694.44 is: 23,538.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,136.98 : 82,694.54 = 15,694.44 : x
  2. Step 2: Convert to fraction form
    55,136.98/82,694.54 = 15,694.44/x
  3. Step 3: Cross multiply
    55,136.98x = 82,694.54 × 15,694.44
  4. Step 4: Simplify right side
    55,136.98x = 1,297,844,496.36
  5. Step 5: Solve for x
    x = 1,297,844,496.36/55,136.98
  6. Step 6: Final answer
    x = 23,538.55

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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.