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Finding the Fourth Proportional to 33,717.16, 46,493.22 and 22,969

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Solution

The fourth proportional to 33,717.16, 46,493.22 and 22,969 is: 31,672.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,717.16 : 46,493.22 = 22,969 : x
  2. Step 2: Convert to fraction form
    33,717.16/46,493.22 = 22,969/x
  3. Step 3: Cross multiply
    33,717.16x = 46,493.22 × 22,969
  4. Step 4: Simplify right side
    33,717.16x = 1,067,902,770.18
  5. Step 5: Solve for x
    x = 1,067,902,770.18/33,717.16
  6. Step 6: Final answer
    x = 31,672.38

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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.