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Finding the Fourth Proportional to 75,591.68, 113,348.64 and 34,016

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Solution

The fourth proportional to 75,591.68, 113,348.64 and 34,016 is: 51,006.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,591.68 : 113,348.64 = 34,016 : x
  2. Step 2: Convert to fraction form
    75,591.68/113,348.64 = 34,016/x
  3. Step 3: Cross multiply
    75,591.68x = 113,348.64 × 34,016
  4. Step 4: Simplify right side
    75,591.68x = 3,855,667,338.24
  5. Step 5: Solve for x
    x = 3,855,667,338.24/75,591.68
  6. Step 6: Final answer
    x = 51,006.50

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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.