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Finding the Fourth Proportional to 40,793.48, 56,295.86 and 22,889.78

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Solution

The fourth proportional to 40,793.48, 56,295.86 and 22,889.78 is: 31,588.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,793.48 : 56,295.86 = 22,889.78 : x
  2. Step 2: Convert to fraction form
    40,793.48/56,295.86 = 22,889.78/x
  3. Step 3: Cross multiply
    40,793.48x = 56,295.86 × 22,889.78
  4. Step 4: Simplify right side
    40,793.48x = 1,288,599,850.31
  5. Step 5: Solve for x
    x = 1,288,599,850.31/40,793.48
  6. Step 6: Final answer
    x = 31,588.38

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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.