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Finding the Fourth Proportional to 64,493.73, 96,751.97 and 20,109.44

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Solution

The fourth proportional to 64,493.73, 96,751.97 and 20,109.44 is: 30,167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,493.73 : 96,751.97 = 20,109.44 : x
  2. Step 2: Convert to fraction form
    64,493.73/96,751.97 = 20,109.44/x
  3. Step 3: Cross multiply
    64,493.73x = 96,751.97 × 20,109.44
  4. Step 4: Simplify right side
    64,493.73x = 1,945,627,351.29
  5. Step 5: Solve for x
    x = 1,945,627,351.29/64,493.73
  6. Step 6: Final answer
    x = 30,167.70

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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.