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Finding the Fourth Proportional to 51,204.44, 76,819.62 and 14,268.44

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Solution

The fourth proportional to 51,204.44, 76,819.62 and 14,268.44 is: 21,406.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,204.44 : 76,819.62 = 14,268.44 : x
  2. Step 2: Convert to fraction form
    51,204.44/76,819.62 = 14,268.44/x
  3. Step 3: Cross multiply
    51,204.44x = 76,819.62 × 14,268.44
  4. Step 4: Simplify right side
    51,204.44x = 1,096,096,138.79
  5. Step 5: Solve for x
    x = 1,096,096,138.79/51,204.44
  6. Step 6: Final answer
    x = 21,406.27

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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.