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Finding the Fourth Proportional to 39,749.20, 54,852.78 and 21,844.20

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Solution

The fourth proportional to 39,749.20, 54,852.78 and 21,844.20 is: 30,144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,749.20 : 54,852.78 = 21,844.20 : x
  2. Step 2: Convert to fraction form
    39,749.20/54,852.78 = 21,844.20/x
  3. Step 3: Cross multiply
    39,749.20x = 54,852.78 × 21,844.20
  4. Step 4: Simplify right side
    39,749.20x = 1,198,215,096.88
  5. Step 5: Solve for x
    x = 1,198,215,096.88/39,749.20
  6. Step 6: Final answer
    x = 30,144.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.