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Finding the Fourth Proportional to 36,405.76, 50,214.18 and 35,186.44

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Solution

The fourth proportional to 36,405.76, 50,214.18 and 35,186.44 is: 48,532.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,405.76 : 50,214.18 = 35,186.44 : x
  2. Step 2: Convert to fraction form
    36,405.76/50,214.18 = 35,186.44/x
  3. Step 3: Cross multiply
    36,405.76x = 50,214.18 × 35,186.44
  4. Step 4: Simplify right side
    36,405.76x = 1,766,858,231.72
  5. Step 5: Solve for x
    x = 1,766,858,231.72/36,405.76
  6. Step 6: Final answer
    x = 48,532.38

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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.