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Finding the Fourth Proportional to 51,891.27, 71,612.60 and 31,741.86

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Solution

The fourth proportional to 51,891.27, 71,612.60 and 31,741.86 is: 43,805.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,891.27 : 71,612.60 = 31,741.86 : x
  2. Step 2: Convert to fraction form
    51,891.27/71,612.60 = 31,741.86/x
  3. Step 3: Cross multiply
    51,891.27x = 71,612.60 × 31,741.86
  4. Step 4: Simplify right side
    51,891.27x = 2,273,116,964.73
  5. Step 5: Solve for x
    x = 2,273,116,964.73/51,891.27
  6. Step 6: Final answer
    x = 43,805.38

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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.