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Finding the Fourth Proportional to 40,761, 56,249.46 and 22,855.95

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Solution

The fourth proportional to 40,761, 56,249.46 and 22,855.95 is: 31,540.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,761 : 56,249.46 = 22,855.95 : x
  2. Step 2: Convert to fraction form
    40,761/56,249.46 = 22,855.95/x
  3. Step 3: Cross multiply
    40,761x = 56,249.46 × 22,855.95
  4. Step 4: Simplify right side
    40,761x = 1,285,634,845.29
  5. Step 5: Solve for x
    x = 1,285,634,845.29/40,761
  6. Step 6: Final answer
    x = 31,540.81

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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.