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Finding the Fourth Proportional to 49,600, 68,448 and 27,245.44

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Solution

The fourth proportional to 49,600, 68,448 and 27,245.44 is: 37,598.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,600 : 68,448 = 27,245.44 : x
  2. Step 2: Convert to fraction form
    49,600/68,448 = 27,245.44/x
  3. Step 3: Cross multiply
    49,600x = 68,448 × 27,245.44
  4. Step 4: Simplify right side
    49,600x = 1,864,895,877.12
  5. Step 5: Solve for x
    x = 1,864,895,877.12/49,600
  6. Step 6: Final answer
    x = 37,598.71

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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.