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Finding the Fourth Proportional to 49,188.62, 67,874.76 and 27,674.22

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Solution

The fourth proportional to 49,188.62, 67,874.76 and 27,674.22 is: 38,187.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,188.62 : 67,874.76 = 27,674.22 : x
  2. Step 2: Convert to fraction form
    49,188.62/67,874.76 = 27,674.22/x
  3. Step 3: Cross multiply
    49,188.62x = 67,874.76 × 27,674.22
  4. Step 4: Simplify right side
    49,188.62x = 1,878,381,040.69
  5. Step 5: Solve for x
    x = 1,878,381,040.69/49,188.62
  6. Step 6: Final answer
    x = 38,187.31

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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.