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Finding the Fourth Proportional to 31,493.94, 43,418.07 and 22,525.80

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Solution

The fourth proportional to 31,493.94, 43,418.07 and 22,525.80 is: 31,054.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,493.94 : 43,418.07 = 22,525.80 : x
  2. Step 2: Convert to fraction form
    31,493.94/43,418.07 = 22,525.80/x
  3. Step 3: Cross multiply
    31,493.94x = 43,418.07 × 22,525.80
  4. Step 4: Simplify right side
    31,493.94x = 978,026,761.21
  5. Step 5: Solve for x
    x = 978,026,761.21/31,493.94
  6. Step 6: Final answer
    x = 31,054.44

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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.