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Finding the Fourth Proportional to 49,767.38, 68,678.98 and 27,411.38

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Solution

The fourth proportional to 49,767.38, 68,678.98 and 27,411.38 is: 37,827.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,767.38 : 68,678.98 = 27,411.38 : x
  2. Step 2: Convert to fraction form
    49,767.38/68,678.98 = 27,411.38/x
  3. Step 3: Cross multiply
    49,767.38x = 68,678.98 × 27,411.38
  4. Step 4: Simplify right side
    49,767.38x = 1,882,585,618.79
  5. Step 5: Solve for x
    x = 1,882,585,618.79/49,767.38
  6. Step 6: Final answer
    x = 37,827.70

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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.