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Finding the Fourth Proportional to 50,343.42, 69,474.72 and 27,683.40

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Solution

The fourth proportional to 50,343.42, 69,474.72 and 27,683.40 is: 38,203.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,343.42 : 69,474.72 = 27,683.40 : x
  2. Step 2: Convert to fraction form
    50,343.42/69,474.72 = 27,683.40/x
  3. Step 3: Cross multiply
    50,343.42x = 69,474.72 × 27,683.40
  4. Step 4: Simplify right side
    50,343.42x = 1,923,296,463.65
  5. Step 5: Solve for x
    x = 1,923,296,463.65/50,343.42
  6. Step 6: Final answer
    x = 38,203.53

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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.