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Finding the Fourth Proportional to 47,853.91, 71,701.87 and 27,807.12

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Solution

The fourth proportional to 47,853.91, 71,701.87 and 27,807.12 is: 41,664.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,853.91 : 71,701.87 = 27,807.12 : x
  2. Step 2: Convert to fraction form
    47,853.91/71,701.87 = 27,807.12/x
  3. Step 3: Cross multiply
    47,853.91x = 71,701.87 × 27,807.12
  4. Step 4: Simplify right side
    47,853.91x = 1,993,822,433.80
  5. Step 5: Solve for x
    x = 1,993,822,433.80/47,853.91
  6. Step 6: Final answer
    x = 41,664.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.