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Finding the Fourth Proportional to 33,668.32, 50,503.74 and 10,294.96

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Solution

The fourth proportional to 33,668.32, 50,503.74 and 10,294.96 is: 15,442.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,668.32 : 50,503.74 = 10,294.96 : x
  2. Step 2: Convert to fraction form
    33,668.32/50,503.74 = 10,294.96/x
  3. Step 3: Cross multiply
    33,668.32x = 50,503.74 × 10,294.96
  4. Step 4: Simplify right side
    33,668.32x = 519,933,983.15
  5. Step 5: Solve for x
    x = 519,933,983.15/33,668.32
  6. Step 6: Final answer
    x = 15,442.83

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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.