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Finding the Fourth Proportional to 72,853.10, 109,203.09 and 33,377.75

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Solution

The fourth proportional to 72,853.10, 109,203.09 and 33,377.75 is: 50,031.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,853.10 : 109,203.09 = 33,377.75 : x
  2. Step 2: Convert to fraction form
    72,853.10/109,203.09 = 33,377.75/x
  3. Step 3: Cross multiply
    72,853.10x = 109,203.09 × 33,377.75
  4. Step 4: Simplify right side
    72,853.10x = 3,644,952,891.23
  5. Step 5: Solve for x
    x = 3,644,952,891.23/72,853.10
  6. Step 6: Final answer
    x = 50,031.54

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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.