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Finding the Fourth Proportional to 49,042.66, 67,686.42 and 27,817.42

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Solution

The fourth proportional to 49,042.66, 67,686.42 and 27,817.42 is: 38,392.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,042.66 : 67,686.42 = 27,817.42 : x
  2. Step 2: Convert to fraction form
    49,042.66/67,686.42 = 27,817.42/x
  3. Step 3: Cross multiply
    49,042.66x = 67,686.42 × 27,817.42
  4. Step 4: Simplify right side
    49,042.66x = 1,882,861,573.44
  5. Step 5: Solve for x
    x = 1,882,861,573.44/49,042.66
  6. Step 6: Final answer
    x = 38,392.32

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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.