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Finding the Fourth Proportional to 71,584.59, 107,396.34 and 24,841.11

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Solution

The fourth proportional to 71,584.59, 107,396.34 and 24,841.11 is: 37,268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,584.59 : 107,396.34 = 24,841.11 : x
  2. Step 2: Convert to fraction form
    71,584.59/107,396.34 = 24,841.11/x
  3. Step 3: Cross multiply
    71,584.59x = 107,396.34 × 24,841.11
  4. Step 4: Simplify right side
    71,584.59x = 2,667,844,295.54
  5. Step 5: Solve for x
    x = 2,667,844,295.54/71,584.59
  6. Step 6: Final answer
    x = 37,268.42

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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.