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Finding the Fourth Proportional to 50,635, 69,876.02 and 27,975.54

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Solution

The fourth proportional to 50,635, 69,876.02 and 27,975.54 is: 38,606.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,635 : 69,876.02 = 27,975.54 : x
  2. Step 2: Convert to fraction form
    50,635/69,876.02 = 27,975.54/x
  3. Step 3: Cross multiply
    50,635x = 69,876.02 × 27,975.54
  4. Step 4: Simplify right side
    50,635x = 1,954,819,392.55
  5. Step 5: Solve for x
    x = 1,954,819,392.55/50,635
  6. Step 6: Final answer
    x = 38,606.09

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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.