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Finding the Fourth Proportional to 35,489.67, 53,234.50 and 9,194.41

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Solution

The fourth proportional to 35,489.67, 53,234.50 and 9,194.41 is: 13,791.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,489.67 : 53,234.50 = 9,194.41 : x
  2. Step 2: Convert to fraction form
    35,489.67/53,234.50 = 9,194.41/x
  3. Step 3: Cross multiply
    35,489.67x = 53,234.50 × 9,194.41
  4. Step 4: Simplify right side
    35,489.67x = 489,459,819.15
  5. Step 5: Solve for x
    x = 489,459,819.15/35,489.67
  6. Step 6: Final answer
    x = 13,791.61

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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.