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Finding the Fourth Proportional to 55,137.88, 82,694.40 and 15,694.12

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Solution

The fourth proportional to 55,137.88, 82,694.40 and 15,694.12 is: 23,537.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,137.88 : 82,694.40 = 15,694.12 : x
  2. Step 2: Convert to fraction form
    55,137.88/82,694.40 = 15,694.12/x
  3. Step 3: Cross multiply
    55,137.88x = 82,694.40 × 15,694.12
  4. Step 4: Simplify right side
    55,137.88x = 1,297,815,836.93
  5. Step 5: Solve for x
    x = 1,297,815,836.93/55,137.88
  6. Step 6: Final answer
    x = 23,537.64

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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.