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Finding the Fourth Proportional to 69,197.42, 103,828.90 and 41,172.86

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Solution

The fourth proportional to 69,197.42, 103,828.90 and 41,172.86 is: 61,778.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,197.42 : 103,828.90 = 41,172.86 : x
  2. Step 2: Convert to fraction form
    69,197.42/103,828.90 = 41,172.86/x
  3. Step 3: Cross multiply
    69,197.42x = 103,828.90 × 41,172.86
  4. Step 4: Simplify right side
    69,197.42x = 4,274,932,763.65
  5. Step 5: Solve for x
    x = 4,274,932,763.65/69,197.42
  6. Step 6: Final answer
    x = 61,778.79

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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.