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Finding the Fourth Proportional to 32,829.50, 49,231.87 and 10,636.92

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Solution

The fourth proportional to 32,829.50, 49,231.87 and 10,636.92 is: 15,951.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,829.50 : 49,231.87 = 10,636.92 : x
  2. Step 2: Convert to fraction form
    32,829.50/49,231.87 = 10,636.92/x
  3. Step 3: Cross multiply
    32,829.50x = 49,231.87 × 10,636.92
  4. Step 4: Simplify right side
    32,829.50x = 523,675,436.05
  5. Step 5: Solve for x
    x = 523,675,436.05/32,829.50
  6. Step 6: Final answer
    x = 15,951.37

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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.