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Finding the Fourth Proportional to 100,364.10, 150,546.21 and 25,489.86

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Solution

The fourth proportional to 100,364.10, 150,546.21 and 25,489.86 is: 38,234.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,364.10 : 150,546.21 = 25,489.86 : x
  2. Step 2: Convert to fraction form
    100,364.10/150,546.21 = 25,489.86/x
  3. Step 3: Cross multiply
    100,364.10x = 150,546.21 × 25,489.86
  4. Step 4: Simplify right side
    100,364.10x = 3,837,401,816.43
  5. Step 5: Solve for x
    x = 3,837,401,816.43/100,364.10
  6. Step 6: Final answer
    x = 38,234.81

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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.