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Finding the Fourth Proportional to 33,067.68, 45,636.24 and 20,490

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Solution

The fourth proportional to 33,067.68, 45,636.24 and 20,490 is: 28,277.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,067.68 : 45,636.24 = 20,490 : x
  2. Step 2: Convert to fraction form
    33,067.68/45,636.24 = 20,490/x
  3. Step 3: Cross multiply
    33,067.68x = 45,636.24 × 20,490
  4. Step 4: Simplify right side
    33,067.68x = 935,086,557.60
  5. Step 5: Solve for x
    x = 935,086,557.60/33,067.68
  6. Step 6: Final answer
    x = 28,277.96

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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.