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Finding the Fourth Proportional to 31,418, 43,344.82 and 23,261.03

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Solution

The fourth proportional to 31,418, 43,344.82 and 23,261.03 is: 32,091.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,418 : 43,344.82 = 23,261.03 : x
  2. Step 2: Convert to fraction form
    31,418/43,344.82 = 23,261.03/x
  3. Step 3: Cross multiply
    31,418x = 43,344.82 × 23,261.03
  4. Step 4: Simplify right side
    31,418x = 1,008,245,158.36
  5. Step 5: Solve for x
    x = 1,008,245,158.36/31,418
  6. Step 6: Final answer
    x = 32,091.32

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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.