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Finding the Fourth Proportional to 40,879.38, 56,418.59 and 22,974

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Solution

The fourth proportional to 40,879.38, 56,418.59 and 22,974 is: 31,706.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,879.38 : 56,418.59 = 22,974 : x
  2. Step 2: Convert to fraction form
    40,879.38/56,418.59 = 22,974/x
  3. Step 3: Cross multiply
    40,879.38x = 56,418.59 × 22,974
  4. Step 4: Simplify right side
    40,879.38x = 1,296,160,571.79
  5. Step 5: Solve for x
    x = 1,296,160,571.79/40,879.38
  6. Step 6: Final answer
    x = 31,706.95

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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.