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Finding the Fourth Proportional to 34,649.87, 51,974.88 and 8,354.63

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Solution

The fourth proportional to 34,649.87, 51,974.88 and 8,354.63 is: 12,531.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,649.87 : 51,974.88 = 8,354.63 : x
  2. Step 2: Convert to fraction form
    34,649.87/51,974.88 = 8,354.63/x
  3. Step 3: Cross multiply
    34,649.87x = 51,974.88 × 8,354.63
  4. Step 4: Simplify right side
    34,649.87x = 434,231,021.63
  5. Step 5: Solve for x
    x = 434,231,021.63/34,649.87
  6. Step 6: Final answer
    x = 12,531.97

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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.