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Finding the Fourth Proportional to 72,175.80, 108,296.10 and 32,712.60

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Solution

The fourth proportional to 72,175.80, 108,296.10 and 32,712.60 is: 49,083.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,175.80 : 108,296.10 = 32,712.60 : x
  2. Step 2: Convert to fraction form
    72,175.80/108,296.10 = 32,712.60/x
  3. Step 3: Cross multiply
    72,175.80x = 108,296.10 × 32,712.60
  4. Step 4: Simplify right side
    72,175.80x = 3,542,647,000.86
  5. Step 5: Solve for x
    x = 3,542,647,000.86/72,175.80
  6. Step 6: Final answer
    x = 49,083.58

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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.