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Finding the Fourth Proportional to 39,809.31, 54,938.13 and 21,906.27

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Solution

The fourth proportional to 39,809.31, 54,938.13 and 21,906.27 is: 30,231.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,809.31 : 54,938.13 = 21,906.27 : x
  2. Step 2: Convert to fraction form
    39,809.31/54,938.13 = 21,906.27/x
  3. Step 3: Cross multiply
    39,809.31x = 54,938.13 × 21,906.27
  4. Step 4: Simplify right side
    39,809.31x = 1,203,489,509.08
  5. Step 5: Solve for x
    x = 1,203,489,509.08/39,809.31
  6. Step 6: Final answer
    x = 30,231.36

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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.