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Finding the Fourth Proportional to 41,392.86, 57,122.40 and 22,530

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Solution

The fourth proportional to 41,392.86, 57,122.40 and 22,530 is: 31,091.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,392.86 : 57,122.40 = 22,530 : x
  2. Step 2: Convert to fraction form
    41,392.86/57,122.40 = 22,530/x
  3. Step 3: Cross multiply
    41,392.86x = 57,122.40 × 22,530
  4. Step 4: Simplify right side
    41,392.86x = 1,286,967,672
  5. Step 5: Solve for x
    x = 1,286,967,672/41,392.86
  6. Step 6: Final answer
    x = 31,091.54

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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.