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Finding the Fourth Proportional to 71,410.85, 107,131.26 and 21,494.60

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Solution

The fourth proportional to 71,410.85, 107,131.26 and 21,494.60 is: 32,246.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,410.85 : 107,131.26 = 21,494.60 : x
  2. Step 2: Convert to fraction form
    71,410.85/107,131.26 = 21,494.60/x
  3. Step 3: Cross multiply
    71,410.85x = 107,131.26 × 21,494.60
  4. Step 4: Simplify right side
    71,410.85x = 2,302,743,045.54
  5. Step 5: Solve for x
    x = 2,302,743,045.54/71,410.85
  6. Step 6: Final answer
    x = 32,246.41

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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.