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Finding the Fourth Proportional to 49,097.97, 67,755.66 and 27,877.69

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Solution

The fourth proportional to 49,097.97, 67,755.66 and 27,877.69 is: 38,471.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,097.97 : 67,755.66 = 27,877.69 : x
  2. Step 2: Convert to fraction form
    49,097.97/67,755.66 = 27,877.69/x
  3. Step 3: Cross multiply
    49,097.97x = 67,755.66 × 27,877.69
  4. Step 4: Simplify right side
    49,097.97x = 1,888,871,145.84
  5. Step 5: Solve for x
    x = 1,888,871,145.84/49,097.97
  6. Step 6: Final answer
    x = 38,471.47

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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.