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Finding the Fourth Proportional to 33,456.38, 50,187 and 10,084.64

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Solution

The fourth proportional to 33,456.38, 50,187 and 10,084.64 is: 15,127.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,456.38 : 50,187 = 10,084.64 : x
  2. Step 2: Convert to fraction form
    33,456.38/50,187 = 10,084.64/x
  3. Step 3: Cross multiply
    33,456.38x = 50,187 × 10,084.64
  4. Step 4: Simplify right side
    33,456.38x = 506,117,827.68
  5. Step 5: Solve for x
    x = 506,117,827.68/33,456.38
  6. Step 6: Final answer
    x = 15,127.69

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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.