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Finding the Fourth Proportional to 49,187.84, 67,873.06 and 27,674.94

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Solution

The fourth proportional to 49,187.84, 67,873.06 and 27,674.94 is: 38,187.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,187.84 : 67,873.06 = 27,674.94 : x
  2. Step 2: Convert to fraction form
    49,187.84/67,873.06 = 27,674.94/x
  3. Step 3: Cross multiply
    49,187.84x = 67,873.06 × 27,674.94
  4. Step 4: Simplify right side
    49,187.84x = 1,878,382,793.93
  5. Step 5: Solve for x
    x = 1,878,382,793.93/49,187.84
  6. Step 6: Final answer
    x = 38,187.95

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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.