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Finding the Fourth Proportional to 33,067.44, 45,615.96 and 20,470.32

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Solution

The fourth proportional to 33,067.44, 45,615.96 and 20,470.32 is: 28,238.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,067.44 : 45,615.96 = 20,470.32 : x
  2. Step 2: Convert to fraction form
    33,067.44/45,615.96 = 20,470.32/x
  3. Step 3: Cross multiply
    33,067.44x = 45,615.96 × 20,470.32
  4. Step 4: Simplify right side
    33,067.44x = 933,773,298.31
  5. Step 5: Solve for x
    x = 933,773,298.31/33,067.44
  6. Step 6: Final answer
    x = 28,238.45

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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.