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Finding the Fourth Proportional to 33,305.36, 49,982.67 and 15,775.22

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Solution

The fourth proportional to 33,305.36, 49,982.67 and 15,775.22 is: 23,674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,305.36 : 49,982.67 = 15,775.22 : x
  2. Step 2: Convert to fraction form
    33,305.36/49,982.67 = 15,775.22/x
  3. Step 3: Cross multiply
    33,305.36x = 49,982.67 × 15,775.22
  4. Step 4: Simplify right side
    33,305.36x = 788,487,740.39
  5. Step 5: Solve for x
    x = 788,487,740.39/33,305.36
  6. Step 6: Final answer
    x = 23,674.50

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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.