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Finding the Fourth Proportional to 50,835.75, 76,253.63 and 13,899.75

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Solution

The fourth proportional to 50,835.75, 76,253.63 and 13,899.75 is: 20,849.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,835.75 : 76,253.63 = 13,899.75 : x
  2. Step 2: Convert to fraction form
    50,835.75/76,253.63 = 13,899.75/x
  3. Step 3: Cross multiply
    50,835.75x = 76,253.63 × 13,899.75
  4. Step 4: Simplify right side
    50,835.75x = 1,059,906,324.09
  5. Step 5: Solve for x
    x = 1,059,906,324.09/50,835.75
  6. Step 6: Final answer
    x = 20,849.63

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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.