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Finding the Fourth Proportional to 49,754.84, 68,661.74 and 27,398.84

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Solution

The fourth proportional to 49,754.84, 68,661.74 and 27,398.84 is: 37,810.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,754.84 : 68,661.74 = 27,398.84 : x
  2. Step 2: Convert to fraction form
    49,754.84/68,661.74 = 27,398.84/x
  3. Step 3: Cross multiply
    49,754.84x = 68,661.74 × 27,398.84
  4. Step 4: Simplify right side
    49,754.84x = 1,881,252,028.38
  5. Step 5: Solve for x
    x = 1,881,252,028.38/49,754.84
  6. Step 6: Final answer
    x = 37,810.43

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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.