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Finding the Fourth Proportional to 71,634.74, 107,451.98 and 19,044.22

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Solution

The fourth proportional to 71,634.74, 107,451.98 and 19,044.22 is: 28,566.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,634.74 : 107,451.98 = 19,044.22 : x
  2. Step 2: Convert to fraction form
    71,634.74/107,451.98 = 19,044.22/x
  3. Step 3: Cross multiply
    71,634.74x = 107,451.98 × 19,044.22
  4. Step 4: Simplify right side
    71,634.74x = 2,046,339,146.56
  5. Step 5: Solve for x
    x = 2,046,339,146.56/71,634.74
  6. Step 6: Final answer
    x = 28,566.30

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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.