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Finding the Fourth Proportional to 33,476.38, 50,215.88 and 10,102.82

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Solution

The fourth proportional to 33,476.38, 50,215.88 and 10,102.82 is: 15,154.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,476.38 : 50,215.88 = 10,102.82 : x
  2. Step 2: Convert to fraction form
    33,476.38/50,215.88 = 10,102.82/x
  3. Step 3: Cross multiply
    33,476.38x = 50,215.88 × 10,102.82
  4. Step 4: Simplify right side
    33,476.38x = 507,321,996.78
  5. Step 5: Solve for x
    x = 507,321,996.78/33,476.38
  6. Step 6: Final answer
    x = 15,154.63

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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.