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Finding the Fourth Proportional to 33,175.86, 49,769.22 and 9,804.66

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Solution

The fourth proportional to 33,175.86, 49,769.22 and 9,804.66 is: 14,708.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,175.86 : 49,769.22 = 9,804.66 : x
  2. Step 2: Convert to fraction form
    33,175.86/49,769.22 = 9,804.66/x
  3. Step 3: Cross multiply
    33,175.86x = 49,769.22 × 9,804.66
  4. Step 4: Simplify right side
    33,175.86x = 487,970,280.57
  5. Step 5: Solve for x
    x = 487,970,280.57/33,175.86
  6. Step 6: Final answer
    x = 14,708.59

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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.