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Finding the Fourth Proportional to 50,100, 69,140.16 and 27,744

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Solution

The fourth proportional to 50,100, 69,140.16 and 27,744 is: 38,287.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,100 : 69,140.16 = 27,744 : x
  2. Step 2: Convert to fraction form
    50,100/69,140.16 = 27,744/x
  3. Step 3: Cross multiply
    50,100x = 69,140.16 × 27,744
  4. Step 4: Simplify right side
    50,100x = 1,918,224,599.04
  5. Step 5: Solve for x
    x = 1,918,224,599.04/50,100
  6. Step 6: Final answer
    x = 38,287.92

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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.