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Finding the Fourth Proportional to 51,891, 77,832.86 and 29,634.64

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Solution

The fourth proportional to 51,891, 77,832.86 and 29,634.64 is: 44,449.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,891 : 77,832.86 = 29,634.64 : x
  2. Step 2: Convert to fraction form
    51,891/77,832.86 = 29,634.64/x
  3. Step 3: Cross multiply
    51,891x = 77,832.86 × 29,634.64
  4. Step 4: Simplify right side
    51,891x = 2,306,548,786.27
  5. Step 5: Solve for x
    x = 2,306,548,786.27/51,891
  6. Step 6: Final answer
    x = 44,449.88

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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.