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Finding the Fourth Proportional to 54,945.82, 82,452.57 and 21,660.22

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Solution

The fourth proportional to 54,945.82, 82,452.57 and 21,660.22 is: 32,503.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,945.82 : 82,452.57 = 21,660.22 : x
  2. Step 2: Convert to fraction form
    54,945.82/82,452.57 = 21,660.22/x
  3. Step 3: Cross multiply
    54,945.82x = 82,452.57 × 21,660.22
  4. Step 4: Simplify right side
    54,945.82x = 1,785,940,805.77
  5. Step 5: Solve for x
    x = 1,785,940,805.77/54,945.82
  6. Step 6: Final answer
    x = 32,503.67

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Why These Related Problems?

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