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Finding the Fourth Proportional to 131,806.98, 197,708.85 and 31,968

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Solution

The fourth proportional to 131,806.98, 197,708.85 and 31,968 is: 47,951.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,806.98 : 197,708.85 = 31,968 : x
  2. Step 2: Convert to fraction form
    131,806.98/197,708.85 = 31,968/x
  3. Step 3: Cross multiply
    131,806.98x = 197,708.85 × 31,968
  4. Step 4: Simplify right side
    131,806.98x = 6,320,356,516.80
  5. Step 5: Solve for x
    x = 6,320,356,516.80/131,806.98
  6. Step 6: Final answer
    x = 47,951.61

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