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Finding the Fourth Proportional to 73,582.62, 110,375 and 20,992.12

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Solution

The fourth proportional to 73,582.62, 110,375 and 20,992.12 is: 31,488.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,582.62 : 110,375 = 20,992.12 : x
  2. Step 2: Convert to fraction form
    73,582.62/110,375 = 20,992.12/x
  3. Step 3: Cross multiply
    73,582.62x = 110,375 × 20,992.12
  4. Step 4: Simplify right side
    73,582.62x = 2,317,005,245
  5. Step 5: Solve for x
    x = 2,317,005,245/73,582.62
  6. Step 6: Final answer
    x = 31,488.49

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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.