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Finding the Fourth Proportional to 50,391.67, 69,538.76 and 27,728.54

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Solution

The fourth proportional to 50,391.67, 69,538.76 and 27,728.54 is: 38,264.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,391.67 : 69,538.76 = 27,728.54 : x
  2. Step 2: Convert to fraction form
    50,391.67/69,538.76 = 27,728.54/x
  3. Step 3: Cross multiply
    50,391.67x = 69,538.76 × 27,728.54
  4. Step 4: Simplify right side
    50,391.67x = 1,928,208,097.30
  5. Step 5: Solve for x
    x = 1,928,208,097.30/50,391.67
  6. Step 6: Final answer
    x = 38,264.42

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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.