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Finding the Fourth Proportional to 71,636.94, 107,462.21 and 29,519.87

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Solution

The fourth proportional to 71,636.94, 107,462.21 and 29,519.87 is: 44,282.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,636.94 : 107,462.21 = 29,519.87 : x
  2. Step 2: Convert to fraction form
    71,636.94/107,462.21 = 29,519.87/x
  3. Step 3: Cross multiply
    71,636.94x = 107,462.21 × 29,519.87
  4. Step 4: Simplify right side
    71,636.94x = 3,172,269,784.20
  5. Step 5: Solve for x
    x = 3,172,269,784.20/71,636.94
  6. Step 6: Final answer
    x = 44,282.60

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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.