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Finding the Fourth Proportional to 33,617.92, 50,423.04 and 8,992

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Solution

The fourth proportional to 33,617.92, 50,423.04 and 8,992 is: 13,486.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,617.92 : 50,423.04 = 8,992 : x
  2. Step 2: Convert to fraction form
    33,617.92/50,423.04 = 8,992/x
  3. Step 3: Cross multiply
    33,617.92x = 50,423.04 × 8,992
  4. Step 4: Simplify right side
    33,617.92x = 453,403,975.68
  5. Step 5: Solve for x
    x = 453,403,975.68/33,617.92
  6. Step 6: Final answer
    x = 13,486.97

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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.