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Finding the Fourth Proportional to 39,811.52, 54,938.70 and 21,906.56

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Solution

The fourth proportional to 39,811.52, 54,938.70 and 21,906.56 is: 30,230.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,811.52 : 54,938.70 = 21,906.56 : x
  2. Step 2: Convert to fraction form
    39,811.52/54,938.70 = 21,906.56/x
  3. Step 3: Cross multiply
    39,811.52x = 54,938.70 × 21,906.56
  4. Step 4: Simplify right side
    39,811.52x = 1,203,517,927.87
  5. Step 5: Solve for x
    x = 1,203,517,927.87/39,811.52
  6. Step 6: Final answer
    x = 30,230.39

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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.