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Finding the Fourth Proportional to 71,404.80, 107,034.30 and 41,807.40

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Solution

The fourth proportional to 71,404.80, 107,034.30 and 41,807.40 is: 62,668.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,404.80 : 107,034.30 = 41,807.40 : x
  2. Step 2: Convert to fraction form
    71,404.80/107,034.30 = 41,807.40/x
  3. Step 3: Cross multiply
    71,404.80x = 107,034.30 × 41,807.40
  4. Step 4: Simplify right side
    71,404.80x = 4,474,825,793.82
  5. Step 5: Solve for x
    x = 4,474,825,793.82/71,404.80
  6. Step 6: Final answer
    x = 62,668.42

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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.