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Finding the Fourth Proportional to 31,481.96, 47,222.93 and 8,106.57

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Solution

The fourth proportional to 31,481.96, 47,222.93 and 8,106.57 is: 12,159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,481.96 : 47,222.93 = 8,106.57 : x
  2. Step 2: Convert to fraction form
    31,481.96/47,222.93 = 8,106.57/x
  3. Step 3: Cross multiply
    31,481.96x = 47,222.93 × 8,106.57
  4. Step 4: Simplify right side
    31,481.96x = 382,815,947.12
  5. Step 5: Solve for x
    x = 382,815,947.12/31,481.96
  6. Step 6: Final answer
    x = 12,159.85

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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.