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Finding the Fourth Proportional to 55,571.38, 76,689.11 and 31,699.46

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Solution

The fourth proportional to 55,571.38, 76,689.11 and 31,699.46 is: 43,745.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,571.38 : 76,689.11 = 31,699.46 : x
  2. Step 2: Convert to fraction form
    55,571.38/76,689.11 = 31,699.46/x
  3. Step 3: Cross multiply
    55,571.38x = 76,689.11 × 31,699.46
  4. Step 4: Simplify right side
    55,571.38x = 2,431,003,645.85
  5. Step 5: Solve for x
    x = 2,431,003,645.85/55,571.38
  6. Step 6: Final answer
    x = 43,745.61

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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.