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Finding the Fourth Proportional to 40,794.36, 56,295.84 and 22,889

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Solution

The fourth proportional to 40,794.36, 56,295.84 and 22,889 is: 31,586.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,794.36 : 56,295.84 = 22,889 : x
  2. Step 2: Convert to fraction form
    40,794.36/56,295.84 = 22,889/x
  3. Step 3: Cross multiply
    40,794.36x = 56,295.84 × 22,889
  4. Step 4: Simplify right side
    40,794.36x = 1,288,555,481.76
  5. Step 5: Solve for x
    x = 1,288,555,481.76/40,794.36
  6. Step 6: Final answer
    x = 31,586.61

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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.