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Finding the Fourth Proportional to 69,814.56, 96,336.90 and 41,514.78

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Solution

The fourth proportional to 69,814.56, 96,336.90 and 41,514.78 is: 57,286.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,814.56 : 96,336.90 = 41,514.78 : x
  2. Step 2: Convert to fraction form
    69,814.56/96,336.90 = 41,514.78/x
  3. Step 3: Cross multiply
    69,814.56x = 96,336.90 × 41,514.78
  4. Step 4: Simplify right side
    69,814.56x = 3,999,405,209.38
  5. Step 5: Solve for x
    x = 3,999,405,209.38/69,814.56
  6. Step 6: Final answer
    x = 57,286.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.