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Finding the Fourth Proportional to 67,192.70, 100,821.84 and 42,244.48

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Solution

The fourth proportional to 67,192.70, 100,821.84 and 42,244.48 is: 63,387.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,192.70 : 100,821.84 = 42,244.48 : x
  2. Step 2: Convert to fraction form
    67,192.70/100,821.84 = 42,244.48/x
  3. Step 3: Cross multiply
    67,192.70x = 100,821.84 × 42,244.48
  4. Step 4: Simplify right side
    67,192.70x = 4,259,166,203.44
  5. Step 5: Solve for x
    x = 4,259,166,203.44/67,192.70
  6. Step 6: Final answer
    x = 63,387.34

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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.