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Finding the Fourth Proportional to 50,640.42, 69,885.19 and 27,980.87

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Solution

The fourth proportional to 50,640.42, 69,885.19 and 27,980.87 is: 38,614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,640.42 : 69,885.19 = 27,980.87 : x
  2. Step 2: Convert to fraction form
    50,640.42/69,885.19 = 27,980.87/x
  3. Step 3: Cross multiply
    50,640.42x = 69,885.19 × 27,980.87
  4. Step 4: Simplify right side
    50,640.42x = 1,955,448,101.70
  5. Step 5: Solve for x
    x = 1,955,448,101.70/50,640.42
  6. Step 6: Final answer
    x = 38,614.38

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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.