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Finding the Fourth Proportional to 33,939.92, 50,929.70 and 14,216.80

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Solution

The fourth proportional to 33,939.92, 50,929.70 and 14,216.80 is: 21,333.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,939.92 : 50,929.70 = 14,216.80 : x
  2. Step 2: Convert to fraction form
    33,939.92/50,929.70 = 14,216.80/x
  3. Step 3: Cross multiply
    33,939.92x = 50,929.70 × 14,216.80
  4. Step 4: Simplify right side
    33,939.92x = 724,057,358.96
  5. Step 5: Solve for x
    x = 724,057,358.96/33,939.92
  6. Step 6: Final answer
    x = 21,333.50

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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.