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Finding the Fourth Proportional to 31,364.01, 43,249.14 and 22,408.25

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Solution

The fourth proportional to 31,364.01, 43,249.14 and 22,408.25 is: 30,899.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,364.01 : 43,249.14 = 22,408.25 : x
  2. Step 2: Convert to fraction form
    31,364.01/43,249.14 = 22,408.25/x
  3. Step 3: Cross multiply
    31,364.01x = 43,249.14 × 22,408.25
  4. Step 4: Simplify right side
    31,364.01x = 969,137,325.16
  5. Step 5: Solve for x
    x = 969,137,325.16/31,364.01
  6. Step 6: Final answer
    x = 30,899.66

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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.