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Finding the Fourth Proportional to 73,986.96, 102,186.12 and 49,745.84

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Solution

The fourth proportional to 73,986.96, 102,186.12 and 49,745.84 is: 68,705.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,986.96 : 102,186.12 = 49,745.84 : x
  2. Step 2: Convert to fraction form
    73,986.96/102,186.12 = 49,745.84/x
  3. Step 3: Cross multiply
    73,986.96x = 102,186.12 × 49,745.84
  4. Step 4: Simplify right side
    73,986.96x = 5,083,334,375.74
  5. Step 5: Solve for x
    x = 5,083,334,375.74/73,986.96
  6. Step 6: Final answer
    x = 68,705.81

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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.