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Finding the Fourth Proportional to 49,916, 68,884.08 and 27,561.44

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Solution

The fourth proportional to 49,916, 68,884.08 and 27,561.44 is: 38,034.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,916 : 68,884.08 = 27,561.44 : x
  2. Step 2: Convert to fraction form
    49,916/68,884.08 = 27,561.44/x
  3. Step 3: Cross multiply
    49,916x = 68,884.08 × 27,561.44
  4. Step 4: Simplify right side
    49,916x = 1,898,544,437.88
  5. Step 5: Solve for x
    x = 1,898,544,437.88/49,916
  6. Step 6: Final answer
    x = 38,034.79

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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.