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Finding the Fourth Proportional to 33,398.10, 50,097.14 and 8,438.22

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Solution

The fourth proportional to 33,398.10, 50,097.14 and 8,438.22 is: 12,657.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,398.10 : 50,097.14 = 8,438.22 : x
  2. Step 2: Convert to fraction form
    33,398.10/50,097.14 = 8,438.22/x
  3. Step 3: Cross multiply
    33,398.10x = 50,097.14 × 8,438.22
  4. Step 4: Simplify right side
    33,398.10x = 422,730,438.21
  5. Step 5: Solve for x
    x = 422,730,438.21/33,398.10
  6. Step 6: Final answer
    x = 12,657.32

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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.