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Finding the Fourth Proportional to 67,786.36, 101,611.84 and 23,384.78

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Solution

The fourth proportional to 67,786.36, 101,611.84 and 23,384.78 is: 35,053.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,786.36 : 101,611.84 = 23,384.78 : x
  2. Step 2: Convert to fraction form
    67,786.36/101,611.84 = 23,384.78/x
  3. Step 3: Cross multiply
    67,786.36x = 101,611.84 × 23,384.78
  4. Step 4: Simplify right side
    67,786.36x = 2,376,170,523.80
  5. Step 5: Solve for x
    x = 2,376,170,523.80/67,786.36
  6. Step 6: Final answer
    x = 35,053.82

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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.