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Finding the Fourth Proportional to 35,114.22, 48,456 and 19,198.68

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Solution

The fourth proportional to 35,114.22, 48,456 and 19,198.68 is: 26,493.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,114.22 : 48,456 = 19,198.68 : x
  2. Step 2: Convert to fraction form
    35,114.22/48,456 = 19,198.68/x
  3. Step 3: Cross multiply
    35,114.22x = 48,456 × 19,198.68
  4. Step 4: Simplify right side
    35,114.22x = 930,291,238.08
  5. Step 5: Solve for x
    x = 930,291,238.08/35,114.22
  6. Step 6: Final answer
    x = 26,493.29

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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.