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Finding the Fourth Proportional to 50,778.38, 76,167.57 and 13,842.38

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Solution

The fourth proportional to 50,778.38, 76,167.57 and 13,842.38 is: 20,763.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,778.38 : 76,167.57 = 13,842.38 : x
  2. Step 2: Convert to fraction form
    50,778.38/76,167.57 = 13,842.38/x
  3. Step 3: Cross multiply
    50,778.38x = 76,167.57 × 13,842.38
  4. Step 4: Simplify right side
    50,778.38x = 1,054,340,066.78
  5. Step 5: Solve for x
    x = 1,054,340,066.78/50,778.38
  6. Step 6: Final answer
    x = 20,763.56

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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.