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Finding the Fourth Proportional to 50,912.46, 70,258.14 and 27,942.84

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Solution

The fourth proportional to 50,912.46, 70,258.14 and 27,942.84 is: 38,560.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,912.46 : 70,258.14 = 27,942.84 : x
  2. Step 2: Convert to fraction form
    50,912.46/70,258.14 = 27,942.84/x
  3. Step 3: Cross multiply
    50,912.46x = 70,258.14 × 27,942.84
  4. Step 4: Simplify right side
    50,912.46x = 1,963,211,964.72
  5. Step 5: Solve for x
    x = 1,963,211,964.72/50,912.46
  6. Step 6: Final answer
    x = 38,560.54

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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.