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Finding the Fourth Proportional to 55,137, 82,694.52 and 15,694.44

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Solution

The fourth proportional to 55,137, 82,694.52 and 15,694.44 is: 23,538.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,137 : 82,694.52 = 15,694.44 : x
  2. Step 2: Convert to fraction form
    55,137/82,694.52 = 15,694.44/x
  3. Step 3: Cross multiply
    55,137x = 82,694.52 × 15,694.44
  4. Step 4: Simplify right side
    55,137x = 1,297,844,182.47
  5. Step 5: Solve for x
    x = 1,297,844,182.47/55,137
  6. Step 6: Final answer
    x = 23,538.53

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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.