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Finding the Fourth Proportional to 78,696.60, 118,052.10 and 31,939.80

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Solution

The fourth proportional to 78,696.60, 118,052.10 and 31,939.80 is: 47,912.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,696.60 : 118,052.10 = 31,939.80 : x
  2. Step 2: Convert to fraction form
    78,696.60/118,052.10 = 31,939.80/x
  3. Step 3: Cross multiply
    78,696.60x = 118,052.10 × 31,939.80
  4. Step 4: Simplify right side
    78,696.60x = 3,770,560,463.58
  5. Step 5: Solve for x
    x = 3,770,560,463.58/78,696.60
  6. Step 6: Final answer
    x = 47,912.62

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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.