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Finding the Fourth Proportional to 54,949.82, 82,458.57 and 21,664.22

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Solution

The fourth proportional to 54,949.82, 82,458.57 and 21,664.22 is: 32,509.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,949.82 : 82,458.57 = 21,664.22 : x
  2. Step 2: Convert to fraction form
    54,949.82/82,458.57 = 21,664.22/x
  3. Step 3: Cross multiply
    54,949.82x = 82,458.57 × 21,664.22
  4. Step 4: Simplify right side
    54,949.82x = 1,786,400,601.37
  5. Step 5: Solve for x
    x = 1,786,400,601.37/54,949.82
  6. Step 6: Final answer
    x = 32,509.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.