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Finding the Fourth Proportional to 129,027.65, 193,467.69 and 50,049.68

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Solution

The fourth proportional to 129,027.65, 193,467.69 and 50,049.68 is: 75,045.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,027.65 : 193,467.69 = 50,049.68 : x
  2. Step 2: Convert to fraction form
    129,027.65/193,467.69 = 50,049.68/x
  3. Step 3: Cross multiply
    129,027.65x = 193,467.69 × 50,049.68
  4. Step 4: Simplify right side
    129,027.65x = 9,682,995,007.50
  5. Step 5: Solve for x
    x = 9,682,995,007.50/129,027.65
  6. Step 6: Final answer
    x = 75,045.89

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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.