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Finding the Fourth Proportional to 100,581.75, 150,872.64 and 26,709.75

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Solution

The fourth proportional to 100,581.75, 150,872.64 and 26,709.75 is: 40,064.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,581.75 : 150,872.64 = 26,709.75 : x
  2. Step 2: Convert to fraction form
    100,581.75/150,872.64 = 26,709.75/x
  3. Step 3: Cross multiply
    100,581.75x = 150,872.64 × 26,709.75
  4. Step 4: Simplify right side
    100,581.75x = 4,029,770,496.24
  5. Step 5: Solve for x
    x = 4,029,770,496.24/100,581.75
  6. Step 6: Final answer
    x = 40,064.63

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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.