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Finding the Fourth Proportional to 33,412.20, 50,103.60 and 10,033.20

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Solution

The fourth proportional to 33,412.20, 50,103.60 and 10,033.20 is: 15,045.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,412.20 : 50,103.60 = 10,033.20 : x
  2. Step 2: Convert to fraction form
    33,412.20/50,103.60 = 10,033.20/x
  3. Step 3: Cross multiply
    33,412.20x = 50,103.60 × 10,033.20
  4. Step 4: Simplify right side
    33,412.20x = 502,699,439.52
  5. Step 5: Solve for x
    x = 502,699,439.52/33,412.20
  6. Step 6: Final answer
    x = 15,045.39

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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.