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Finding the Fourth Proportional to 34,649.46, 51,974.17 and 8,354.19

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Solution

The fourth proportional to 34,649.46, 51,974.17 and 8,354.19 is: 12,531.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,649.46 : 51,974.17 = 8,354.19 : x
  2. Step 2: Convert to fraction form
    34,649.46/51,974.17 = 8,354.19/x
  3. Step 3: Cross multiply
    34,649.46x = 51,974.17 × 8,354.19
  4. Step 4: Simplify right side
    34,649.46x = 434,202,091.27
  5. Step 5: Solve for x
    x = 434,202,091.27/34,649.46
  6. Step 6: Final answer
    x = 12,531.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.