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Finding the Fourth Proportional to 49,019.67, 67,631.72 and 27,794.84

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Solution

The fourth proportional to 49,019.67, 67,631.72 and 27,794.84 is: 38,348.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,019.67 : 67,631.72 = 27,794.84 : x
  2. Step 2: Convert to fraction form
    49,019.67/67,631.72 = 27,794.84/x
  3. Step 3: Cross multiply
    49,019.67x = 67,631.72 × 27,794.84
  4. Step 4: Simplify right side
    49,019.67x = 1,879,812,359.19
  5. Step 5: Solve for x
    x = 1,879,812,359.19/49,019.67
  6. Step 6: Final answer
    x = 38,348.12

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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.