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Finding the Fourth Proportional to 56,415.30, 84,640.64 and 33,950.49

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Solution

The fourth proportional to 56,415.30, 84,640.64 and 33,950.49 is: 50,936.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,415.30 : 84,640.64 = 33,950.49 : x
  2. Step 2: Convert to fraction form
    56,415.30/84,640.64 = 33,950.49/x
  3. Step 3: Cross multiply
    56,415.30x = 84,640.64 × 33,950.49
  4. Step 4: Simplify right side
    56,415.30x = 2,873,591,201.91
  5. Step 5: Solve for x
    x = 2,873,591,201.91/56,415.30
  6. Step 6: Final answer
    x = 50,936.38

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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.