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Finding the Fourth Proportional to 33,208.67, 49,757.64 and 23,834.64

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Solution

The fourth proportional to 33,208.67, 49,757.64 and 23,834.64 is: 35,712.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,208.67 : 49,757.64 = 23,834.64 : x
  2. Step 2: Convert to fraction form
    33,208.67/49,757.64 = 23,834.64/x
  3. Step 3: Cross multiply
    33,208.67x = 49,757.64 × 23,834.64
  4. Step 4: Simplify right side
    33,208.67x = 1,185,955,533.86
  5. Step 5: Solve for x
    x = 1,185,955,533.86/33,208.67
  6. Step 6: Final answer
    x = 35,712.22

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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.