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Finding the Fourth Proportional to 31,198.92, 43,054.83 and 17,052

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Solution

The fourth proportional to 31,198.92, 43,054.83 and 17,052 is: 23,531.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,198.92 : 43,054.83 = 17,052 : x
  2. Step 2: Convert to fraction form
    31,198.92/43,054.83 = 17,052/x
  3. Step 3: Cross multiply
    31,198.92x = 43,054.83 × 17,052
  4. Step 4: Simplify right side
    31,198.92x = 734,170,961.16
  5. Step 5: Solve for x
    x = 734,170,961.16/31,198.92
  6. Step 6: Final answer
    x = 23,531.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.