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Finding the Fourth Proportional to 47,794.55, 71,691.80 and 14,514.48

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Solution

The fourth proportional to 47,794.55, 71,691.80 and 14,514.48 is: 21,771.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,794.55 : 71,691.80 = 14,514.48 : x
  2. Step 2: Convert to fraction form
    47,794.55/71,691.80 = 14,514.48/x
  3. Step 3: Cross multiply
    47,794.55x = 71,691.80 × 14,514.48
  4. Step 4: Simplify right side
    47,794.55x = 1,040,569,124.69
  5. Step 5: Solve for x
    x = 1,040,569,124.69/47,794.55
  6. Step 6: Final answer
    x = 21,771.71

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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.