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Finding the Fourth Proportional to 33,067.47, 45,626 and 19,643.25

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Solution

The fourth proportional to 33,067.47, 45,626 and 19,643.25 is: 27,103.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,067.47 : 45,626 = 19,643.25 : x
  2. Step 2: Convert to fraction form
    33,067.47/45,626 = 19,643.25/x
  3. Step 3: Cross multiply
    33,067.47x = 45,626 × 19,643.25
  4. Step 4: Simplify right side
    33,067.47x = 896,242,924.50
  5. Step 5: Solve for x
    x = 896,242,924.50/33,067.47
  6. Step 6: Final answer
    x = 27,103.46

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