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Finding the Fourth Proportional to 40,164.85, 55,427.49 and 22,262.54

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Solution

The fourth proportional to 40,164.85, 55,427.49 and 22,262.54 is: 30,722.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,164.85 : 55,427.49 = 22,262.54 : x
  2. Step 2: Convert to fraction form
    40,164.85/55,427.49 = 22,262.54/x
  3. Step 3: Cross multiply
    40,164.85x = 55,427.49 × 22,262.54
  4. Step 4: Simplify right side
    40,164.85x = 1,233,956,601.91
  5. Step 5: Solve for x
    x = 1,233,956,601.91/40,164.85
  6. Step 6: Final answer
    x = 30,722.30

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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.