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Finding the Fourth Proportional to 75,201.88, 112,817.70 and 33,649.24

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Solution

The fourth proportional to 75,201.88, 112,817.70 and 33,649.24 is: 50,480.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,201.88 : 112,817.70 = 33,649.24 : x
  2. Step 2: Convert to fraction form
    75,201.88/112,817.70 = 33,649.24/x
  3. Step 3: Cross multiply
    75,201.88x = 112,817.70 × 33,649.24
  4. Step 4: Simplify right side
    75,201.88x = 3,796,229,863.55
  5. Step 5: Solve for x
    x = 3,796,229,863.55/75,201.88
  6. Step 6: Final answer
    x = 50,480.52

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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.