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Finding the Fourth Proportional to 50,138.20, 75,209.52 and 27,934.74

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Solution

The fourth proportional to 50,138.20, 75,209.52 and 27,934.74 is: 41,903.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,138.20 : 75,209.52 = 27,934.74 : x
  2. Step 2: Convert to fraction form
    50,138.20/75,209.52 = 27,934.74/x
  3. Step 3: Cross multiply
    50,138.20x = 75,209.52 × 27,934.74
  4. Step 4: Simplify right side
    50,138.20x = 2,100,958,386.72
  5. Step 5: Solve for x
    x = 2,100,958,386.72/50,138.20
  6. Step 6: Final answer
    x = 41,903.35

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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.