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Finding the Fourth Proportional to 30,391.38, 41,959.37 and 20,847.26

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Solution

The fourth proportional to 30,391.38, 41,959.37 and 20,847.26 is: 28,782.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,391.38 : 41,959.37 = 20,847.26 : x
  2. Step 2: Convert to fraction form
    30,391.38/41,959.37 = 20,847.26/x
  3. Step 3: Cross multiply
    30,391.38x = 41,959.37 × 20,847.26
  4. Step 4: Simplify right side
    30,391.38x = 874,737,581.79
  5. Step 5: Solve for x
    x = 874,737,581.79/30,391.38
  6. Step 6: Final answer
    x = 28,782.42

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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.