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Finding the Fourth Proportional to 41,440.86, 57,188.34 and 22,578

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Solution

The fourth proportional to 41,440.86, 57,188.34 and 22,578 is: 31,157.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,440.86 : 57,188.34 = 22,578 : x
  2. Step 2: Convert to fraction form
    41,440.86/57,188.34 = 22,578/x
  3. Step 3: Cross multiply
    41,440.86x = 57,188.34 × 22,578
  4. Step 4: Simplify right side
    41,440.86x = 1,291,198,340.52
  5. Step 5: Solve for x
    x = 1,291,198,340.52/41,440.86
  6. Step 6: Final answer
    x = 31,157.61

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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.