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Finding the Fourth Proportional to 51,508.44, 77,256.66 and 14,067

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Solution

The fourth proportional to 51,508.44, 77,256.66 and 14,067 is: 21,098.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,508.44 : 77,256.66 = 14,067 : x
  2. Step 2: Convert to fraction form
    51,508.44/77,256.66 = 14,067/x
  3. Step 3: Cross multiply
    51,508.44x = 77,256.66 × 14,067
  4. Step 4: Simplify right side
    51,508.44x = 1,086,769,436.22
  5. Step 5: Solve for x
    x = 1,086,769,436.22/51,508.44
  6. Step 6: Final answer
    x = 21,098.86

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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.