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Finding the Fourth Proportional to 41,103.37, 56,722.73 and 22,954

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Solution

The fourth proportional to 41,103.37, 56,722.73 and 22,954 is: 31,676.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,103.37 : 56,722.73 = 22,954 : x
  2. Step 2: Convert to fraction form
    41,103.37/56,722.73 = 22,954/x
  3. Step 3: Cross multiply
    41,103.37x = 56,722.73 × 22,954
  4. Step 4: Simplify right side
    41,103.37x = 1,302,013,544.42
  5. Step 5: Solve for x
    x = 1,302,013,544.42/41,103.37
  6. Step 6: Final answer
    x = 31,676.56

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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.