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Finding the Fourth Proportional to 50,097.60, 75,138.84 and 16,812

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Solution

The fourth proportional to 50,097.60, 75,138.84 and 16,812 is: 25,215.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,097.60 : 75,138.84 = 16,812 : x
  2. Step 2: Convert to fraction form
    50,097.60/75,138.84 = 16,812/x
  3. Step 3: Cross multiply
    50,097.60x = 75,138.84 × 16,812
  4. Step 4: Simplify right side
    50,097.60x = 1,263,234,178.08
  5. Step 5: Solve for x
    x = 1,263,234,178.08/50,097.60
  6. Step 6: Final answer
    x = 25,215.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.