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Finding the Fourth Proportional to 39,797.88, 54,902.67 and 23,854.65

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Solution

The fourth proportional to 39,797.88, 54,902.67 and 23,854.65 is: 32,908.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,797.88 : 54,902.67 = 23,854.65 : x
  2. Step 2: Convert to fraction form
    39,797.88/54,902.67 = 23,854.65/x
  3. Step 3: Cross multiply
    39,797.88x = 54,902.67 × 23,854.65
  4. Step 4: Simplify right side
    39,797.88x = 1,309,683,976.92
  5. Step 5: Solve for x
    x = 1,309,683,976.92/39,797.88
  6. Step 6: Final answer
    x = 32,908.39

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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.