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Finding the Fourth Proportional to 50,201.12, 75,251.76 and 25,164.74

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Solution

The fourth proportional to 50,201.12, 75,251.76 and 25,164.74 is: 37,722.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,201.12 : 75,251.76 = 25,164.74 : x
  2. Step 2: Convert to fraction form
    50,201.12/75,251.76 = 25,164.74/x
  3. Step 3: Cross multiply
    50,201.12x = 75,251.76 × 25,164.74
  4. Step 4: Simplify right side
    50,201.12x = 1,893,690,974.94
  5. Step 5: Solve for x
    x = 1,893,690,974.94/50,201.12
  6. Step 6: Final answer
    x = 37,722.09

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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.