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Finding the Fourth Proportional to 34,793.89, 52,194.24 and 9,834.13

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Solution

The fourth proportional to 34,793.89, 52,194.24 and 9,834.13 is: 14,752.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,793.89 : 52,194.24 = 9,834.13 : x
  2. Step 2: Convert to fraction form
    34,793.89/52,194.24 = 9,834.13/x
  3. Step 3: Cross multiply
    34,793.89x = 52,194.24 × 9,834.13
  4. Step 4: Simplify right side
    34,793.89x = 513,284,680.44
  5. Step 5: Solve for x
    x = 513,284,680.44/34,793.89
  6. Step 6: Final answer
    x = 14,752.15

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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.