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Finding the Fourth Proportional to 34,350, 51,517.68 and 27,813.30

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Solution

The fourth proportional to 34,350, 51,517.68 and 27,813.30 is: 41,714.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,350 : 51,517.68 = 27,813.30 : x
  2. Step 2: Convert to fraction form
    34,350/51,517.68 = 27,813.30/x
  3. Step 3: Cross multiply
    34,350x = 51,517.68 × 27,813.30
  4. Step 4: Simplify right side
    34,350x = 1,432,876,689.14
  5. Step 5: Solve for x
    x = 1,432,876,689.14/34,350
  6. Step 6: Final answer
    x = 41,714.02

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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.