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Finding the Fourth Proportional to 50,100.50, 69,138.69 and 27,744.50

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Solution

The fourth proportional to 50,100.50, 69,138.69 and 27,744.50 is: 38,287.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,100.50 : 69,138.69 = 27,744.50 : x
  2. Step 2: Convert to fraction form
    50,100.50/69,138.69 = 27,744.50/x
  3. Step 3: Cross multiply
    50,100.50x = 69,138.69 × 27,744.50
  4. Step 4: Simplify right side
    50,100.50x = 1,918,218,384.71
  5. Step 5: Solve for x
    x = 1,918,218,384.71/50,100.50
  6. Step 6: Final answer
    x = 38,287.41

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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.