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Finding the Fourth Proportional to 61,754.04, 85,198.77 and 37,872

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Solution

The fourth proportional to 61,754.04, 85,198.77 and 37,872 is: 52,249.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,754.04 : 85,198.77 = 37,872 : x
  2. Step 2: Convert to fraction form
    61,754.04/85,198.77 = 37,872/x
  3. Step 3: Cross multiply
    61,754.04x = 85,198.77 × 37,872
  4. Step 4: Simplify right side
    61,754.04x = 3,226,647,817.44
  5. Step 5: Solve for x
    x = 3,226,647,817.44/61,754.04
  6. Step 6: Final answer
    x = 52,249.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.