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Finding the Fourth Proportional to 49,129.65, 67,790.46 and 27,616.41

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Solution

The fourth proportional to 49,129.65, 67,790.46 and 27,616.41 is: 38,105.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,129.65 : 67,790.46 = 27,616.41 : x
  2. Step 2: Convert to fraction form
    49,129.65/67,790.46 = 27,616.41/x
  3. Step 3: Cross multiply
    49,129.65x = 67,790.46 × 27,616.41
  4. Step 4: Simplify right side
    49,129.65x = 1,872,129,241.01
  5. Step 5: Solve for x
    x = 1,872,129,241.01/49,129.65
  6. Step 6: Final answer
    x = 38,105.90

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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.