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Finding the Fourth Proportional to 33,343.64, 49,996 and 9,963.80

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Solution

The fourth proportional to 33,343.64, 49,996 and 9,963.80 is: 14,939.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,343.64 : 49,996 = 9,963.80 : x
  2. Step 2: Convert to fraction form
    33,343.64/49,996 = 9,963.80/x
  3. Step 3: Cross multiply
    33,343.64x = 49,996 × 9,963.80
  4. Step 4: Simplify right side
    33,343.64x = 498,150,144.80
  5. Step 5: Solve for x
    x = 498,150,144.80/33,343.64
  6. Step 6: Final answer
    x = 14,939.88

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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.