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Finding the Fourth Proportional to 33,384.52, 50,076.80 and 10,011

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Solution

The fourth proportional to 33,384.52, 50,076.80 and 10,011 is: 15,016.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,384.52 : 50,076.80 = 10,011 : x
  2. Step 2: Convert to fraction form
    33,384.52/50,076.80 = 10,011/x
  3. Step 3: Cross multiply
    33,384.52x = 50,076.80 × 10,011
  4. Step 4: Simplify right side
    33,384.52x = 501,318,844.80
  5. Step 5: Solve for x
    x = 501,318,844.80/33,384.52
  6. Step 6: Final answer
    x = 15,016.51

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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.