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Finding the Fourth Proportional to 75,112.88, 112,708.17 and 33,022.52

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Solution

The fourth proportional to 75,112.88, 112,708.17 and 33,022.52 is: 49,550.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,112.88 : 112,708.17 = 33,022.52 : x
  2. Step 2: Convert to fraction form
    75,112.88/112,708.17 = 33,022.52/x
  3. Step 3: Cross multiply
    75,112.88x = 112,708.17 × 33,022.52
  4. Step 4: Simplify right side
    75,112.88x = 3,721,907,797.99
  5. Step 5: Solve for x
    x = 3,721,907,797.99/75,112.88
  6. Step 6: Final answer
    x = 49,550.86

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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.