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Finding the Fourth Proportional to 34,649.82, 51,974.27 and 8,354.35

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Solution

The fourth proportional to 34,649.82, 51,974.27 and 8,354.35 is: 12,531.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,649.82 : 51,974.27 = 8,354.35 : x
  2. Step 2: Convert to fraction form
    34,649.82/51,974.27 = 8,354.35/x
  3. Step 3: Cross multiply
    34,649.82x = 51,974.27 × 8,354.35
  4. Step 4: Simplify right side
    34,649.82x = 434,210,940.93
  5. Step 5: Solve for x
    x = 434,210,940.93/34,649.82
  6. Step 6: Final answer
    x = 12,531.41

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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.