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Finding the Fourth Proportional to 64,267, 96,414.54 and 19,286.44

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Solution

The fourth proportional to 64,267, 96,414.54 and 19,286.44 is: 28,933.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,267 : 96,414.54 = 19,286.44 : x
  2. Step 2: Convert to fraction form
    64,267/96,414.54 = 19,286.44/x
  3. Step 3: Cross multiply
    64,267x = 96,414.54 × 19,286.44
  4. Step 4: Simplify right side
    64,267x = 1,859,493,240.84
  5. Step 5: Solve for x
    x = 1,859,493,240.84/64,267
  6. Step 6: Final answer
    x = 28,933.87

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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.