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Finding the Fourth Proportional to 106,041.98, 159,062.88 and 31,163.96

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Solution

The fourth proportional to 106,041.98, 159,062.88 and 31,163.96 is: 46,745.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,041.98 : 159,062.88 = 31,163.96 : x
  2. Step 2: Convert to fraction form
    106,041.98/159,062.88 = 31,163.96/x
  3. Step 3: Cross multiply
    106,041.98x = 159,062.88 × 31,163.96
  4. Step 4: Simplify right side
    106,041.98x = 4,957,029,229.80
  5. Step 5: Solve for x
    x = 4,957,029,229.80/106,041.98
  6. Step 6: Final answer
    x = 46,745.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.