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Finding the Fourth Proportional to 39,749.54, 54,855.38 and 21,845

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Solution

The fourth proportional to 39,749.54, 54,855.38 and 21,845 is: 30,146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,749.54 : 54,855.38 = 21,845 : x
  2. Step 2: Convert to fraction form
    39,749.54/54,855.38 = 21,845/x
  3. Step 3: Cross multiply
    39,749.54x = 54,855.38 × 21,845
  4. Step 4: Simplify right side
    39,749.54x = 1,198,315,666.88
  5. Step 5: Solve for x
    x = 1,198,315,666.88/39,749.54
  6. Step 6: Final answer
    x = 30,146.65

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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.