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Finding the Fourth Proportional to 49,451.41, 74,174.77 and 16,167.09

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Solution

The fourth proportional to 49,451.41, 74,174.77 and 16,167.09 is: 24,249.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,451.41 : 74,174.77 = 16,167.09 : x
  2. Step 2: Convert to fraction form
    49,451.41/74,174.77 = 16,167.09/x
  3. Step 3: Cross multiply
    49,451.41x = 74,174.77 × 16,167.09
  4. Step 4: Simplify right side
    49,451.41x = 1,199,190,182.32
  5. Step 5: Solve for x
    x = 1,199,190,182.32/49,451.41
  6. Step 6: Final answer
    x = 24,249.87

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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.