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Finding the Fourth Proportional to 50,697.38, 76,046.06 and 13,761.38

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Solution

The fourth proportional to 50,697.38, 76,046.06 and 13,761.38 is: 20,642.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,697.38 : 76,046.06 = 13,761.38 : x
  2. Step 2: Convert to fraction form
    50,697.38/76,046.06 = 13,761.38/x
  3. Step 3: Cross multiply
    50,697.38x = 76,046.06 × 13,761.38
  4. Step 4: Simplify right side
    50,697.38x = 1,046,498,383.34
  5. Step 5: Solve for x
    x = 1,046,498,383.34/50,697.38
  6. Step 6: Final answer
    x = 20,642.06

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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.