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Finding the Fourth Proportional to 33,634.68, 50,458.62 and 9,942.60

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Solution

The fourth proportional to 33,634.68, 50,458.62 and 9,942.60 is: 14,915.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,634.68 : 50,458.62 = 9,942.60 : x
  2. Step 2: Convert to fraction form
    33,634.68/50,458.62 = 9,942.60/x
  3. Step 3: Cross multiply
    33,634.68x = 50,458.62 × 9,942.60
  4. Step 4: Simplify right side
    33,634.68x = 501,689,875.21
  5. Step 5: Solve for x
    x = 501,689,875.21/33,634.68
  6. Step 6: Final answer
    x = 14,915.85

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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.