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Finding the Fourth Proportional to 42,781.97, 64,168.04 and 11,195.09

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Solution

The fourth proportional to 42,781.97, 64,168.04 and 11,195.09 is: 16,791.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,781.97 : 64,168.04 = 11,195.09 : x
  2. Step 2: Convert to fraction form
    42,781.97/64,168.04 = 11,195.09/x
  3. Step 3: Cross multiply
    42,781.97x = 64,168.04 × 11,195.09
  4. Step 4: Simplify right side
    42,781.97x = 718,366,662.08
  5. Step 5: Solve for x
    x = 718,366,662.08/42,781.97
  6. Step 6: Final answer
    x = 16,791.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.