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Finding the Fourth Proportional to 39,729.80, 54,838.14 and 22,743.56

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Solution

The fourth proportional to 39,729.80, 54,838.14 and 22,743.56 is: 31,392.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,729.80 : 54,838.14 = 22,743.56 : x
  2. Step 2: Convert to fraction form
    39,729.80/54,838.14 = 22,743.56/x
  3. Step 3: Cross multiply
    39,729.80x = 54,838.14 × 22,743.56
  4. Step 4: Simplify right side
    39,729.80x = 1,247,214,527.38
  5. Step 5: Solve for x
    x = 1,247,214,527.38/39,729.80
  6. Step 6: Final answer
    x = 31,392.42

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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.