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Finding the Fourth Proportional to 75,086.92, 112,634.12 and 22,491.39

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Solution

The fourth proportional to 75,086.92, 112,634.12 and 22,491.39 is: 33,738.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,086.92 : 112,634.12 = 22,491.39 : x
  2. Step 2: Convert to fraction form
    75,086.92/112,634.12 = 22,491.39/x
  3. Step 3: Cross multiply
    75,086.92x = 112,634.12 × 22,491.39
  4. Step 4: Simplify right side
    75,086.92x = 2,533,297,920.23
  5. Step 5: Solve for x
    x = 2,533,297,920.23/75,086.92
  6. Step 6: Final answer
    x = 33,738.21

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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.