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Finding the Fourth Proportional to 75,186.86, 103,753.05 and 41,194.94

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Solution

The fourth proportional to 75,186.86, 103,753.05 and 41,194.94 is: 56,846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,186.86 : 103,753.05 = 41,194.94 : x
  2. Step 2: Convert to fraction form
    75,186.86/103,753.05 = 41,194.94/x
  3. Step 3: Cross multiply
    75,186.86x = 103,753.05 × 41,194.94
  4. Step 4: Simplify right side
    75,186.86x = 4,274,100,669.57
  5. Step 5: Solve for x
    x = 4,274,100,669.57/75,186.86
  6. Step 6: Final answer
    x = 56,846.38

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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.