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Finding the Fourth Proportional to 75,568.82, 113,349.12 and 22,974.20

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Solution

The fourth proportional to 75,568.82, 113,349.12 and 22,974.20 is: 34,460.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,568.82 : 113,349.12 = 22,974.20 : x
  2. Step 2: Convert to fraction form
    75,568.82/113,349.12 = 22,974.20/x
  3. Step 3: Cross multiply
    75,568.82x = 113,349.12 × 22,974.20
  4. Step 4: Simplify right side
    75,568.82x = 2,604,105,352.70
  5. Step 5: Solve for x
    x = 2,604,105,352.70/75,568.82
  6. Step 6: Final answer
    x = 34,460.05

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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.