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Finding the Fourth Proportional to 76,067.28, 113,552.10 and 64,270.80

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Solution

The fourth proportional to 76,067.28, 113,552.10 and 64,270.80 is: 95,942.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,067.28 : 113,552.10 = 64,270.80 : x
  2. Step 2: Convert to fraction form
    76,067.28/113,552.10 = 64,270.80/x
  3. Step 3: Cross multiply
    76,067.28x = 113,552.10 × 64,270.80
  4. Step 4: Simplify right side
    76,067.28x = 7,298,084,308.68
  5. Step 5: Solve for x
    x = 7,298,084,308.68/76,067.28
  6. Step 6: Final answer
    x = 95,942.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.