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Finding the Fourth Proportional to 49,992.64, 69,046.56 and 34,049.44

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Solution

The fourth proportional to 49,992.64, 69,046.56 and 34,049.44 is: 47,026.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,992.64 : 69,046.56 = 34,049.44 : x
  2. Step 2: Convert to fraction form
    49,992.64/69,046.56 = 34,049.44/x
  3. Step 3: Cross multiply
    49,992.64x = 69,046.56 × 34,049.44
  4. Step 4: Simplify right side
    49,992.64x = 2,350,996,701.93
  5. Step 5: Solve for x
    x = 2,350,996,701.93/49,992.64
  6. Step 6: Final answer
    x = 47,026.86

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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.