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Finding the Fourth Proportional to 33,249, 49,873.50 and 16,833

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Solution

The fourth proportional to 33,249, 49,873.50 and 16,833 is: 25,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,249 : 49,873.50 = 16,833 : x
  2. Step 2: Convert to fraction form
    33,249/49,873.50 = 16,833/x
  3. Step 3: Cross multiply
    33,249x = 49,873.50 × 16,833
  4. Step 4: Simplify right side
    33,249x = 839,520,625.50
  5. Step 5: Solve for x
    x = 839,520,625.50/33,249
  6. Step 6: Final answer
    x = 25,249.50

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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.