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Finding the Fourth Proportional to 49,884, 68,840.16 and 27,529.44

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Solution

The fourth proportional to 49,884, 68,840.16 and 27,529.44 is: 37,990.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,884 : 68,840.16 = 27,529.44 : x
  2. Step 2: Convert to fraction form
    49,884/68,840.16 = 27,529.44/x
  3. Step 3: Cross multiply
    49,884x = 68,840.16 × 27,529.44
  4. Step 4: Simplify right side
    49,884x = 1,895,131,054.31
  5. Step 5: Solve for x
    x = 1,895,131,054.31/49,884
  6. Step 6: Final answer
    x = 37,990.76

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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.