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Finding the Fourth Proportional to 49,076.80, 67,727.68 and 27,855.36

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Solution

The fourth proportional to 49,076.80, 67,727.68 and 27,855.36 is: 38,441.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,076.80 : 67,727.68 = 27,855.36 : x
  2. Step 2: Convert to fraction form
    49,076.80/67,727.68 = 27,855.36/x
  3. Step 3: Cross multiply
    49,076.80x = 67,727.68 × 27,855.36
  4. Step 4: Simplify right side
    49,076.80x = 1,886,578,908.36
  5. Step 5: Solve for x
    x = 1,886,578,908.36/49,076.80
  6. Step 6: Final answer
    x = 38,441.36

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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.