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Finding the Fourth Proportional to 33,798.44, 50,704.41 and 10,424

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Solution

The fourth proportional to 33,798.44, 50,704.41 and 10,424 is: 15,638.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,798.44 : 50,704.41 = 10,424 : x
  2. Step 2: Convert to fraction form
    33,798.44/50,704.41 = 10,424/x
  3. Step 3: Cross multiply
    33,798.44x = 50,704.41 × 10,424
  4. Step 4: Simplify right side
    33,798.44x = 528,542,769.84
  5. Step 5: Solve for x
    x = 528,542,769.84/33,798.44
  6. Step 6: Final answer
    x = 15,638.08

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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.