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Finding the Fourth Proportional to 49,757.75, 68,664.71 and 27,097.01

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Solution

The fourth proportional to 49,757.75, 68,664.71 and 27,097.01 is: 37,393.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,757.75 : 68,664.71 = 27,097.01 : x
  2. Step 2: Convert to fraction form
    49,757.75/68,664.71 = 27,097.01/x
  3. Step 3: Cross multiply
    49,757.75x = 68,664.71 × 27,097.01
  4. Step 4: Simplify right side
    49,757.75x = 1,860,608,333.52
  5. Step 5: Solve for x
    x = 1,860,608,333.52/49,757.75
  6. Step 6: Final answer
    x = 37,393.34

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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.