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Finding the Fourth Proportional to 33,892, 50,845.68 and 12,004

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Solution

The fourth proportional to 33,892, 50,845.68 and 12,004 is: 18,008.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,892 : 50,845.68 = 12,004 : x
  2. Step 2: Convert to fraction form
    33,892/50,845.68 = 12,004/x
  3. Step 3: Cross multiply
    33,892x = 50,845.68 × 12,004
  4. Step 4: Simplify right side
    33,892x = 610,351,542.72
  5. Step 5: Solve for x
    x = 610,351,542.72/33,892
  6. Step 6: Final answer
    x = 18,008.72

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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.