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Finding the Fourth Proportional to 33,154.92, 45,735.64 and 23,067.38

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Solution

The fourth proportional to 33,154.92, 45,735.64 and 23,067.38 is: 31,820.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,154.92 : 45,735.64 = 23,067.38 : x
  2. Step 2: Convert to fraction form
    33,154.92/45,735.64 = 23,067.38/x
  3. Step 3: Cross multiply
    33,154.92x = 45,735.64 × 23,067.38
  4. Step 4: Simplify right side
    33,154.92x = 1,055,001,444.09
  5. Step 5: Solve for x
    x = 1,055,001,444.09/33,154.92
  6. Step 6: Final answer
    x = 31,820.36

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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.