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Finding the Fourth Proportional to 49,329.64, 68,067.12 and 28,101.16

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Solution

The fourth proportional to 49,329.64, 68,067.12 and 28,101.16 is: 38,775.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,329.64 : 68,067.12 = 28,101.16 : x
  2. Step 2: Convert to fraction form
    49,329.64/68,067.12 = 28,101.16/x
  3. Step 3: Cross multiply
    49,329.64x = 68,067.12 × 28,101.16
  4. Step 4: Simplify right side
    49,329.64x = 1,912,765,029.86
  5. Step 5: Solve for x
    x = 1,912,765,029.86/49,329.64
  6. Step 6: Final answer
    x = 38,775.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.