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Finding the Fourth Proportional to 34,649.69, 51,974.07 and 8,354.22

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Solution

The fourth proportional to 34,649.69, 51,974.07 and 8,354.22 is: 12,531.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,649.69 : 51,974.07 = 8,354.22 : x
  2. Step 2: Convert to fraction form
    34,649.69/51,974.07 = 8,354.22/x
  3. Step 3: Cross multiply
    34,649.69x = 51,974.07 × 8,354.22
  4. Step 4: Simplify right side
    34,649.69x = 434,202,815.08
  5. Step 5: Solve for x
    x = 434,202,815.08/34,649.69
  6. Step 6: Final answer
    x = 12,531.22

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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.