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Finding the Fourth Proportional to 50,202.24, 69,279.16 and 27,846.24

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Solution

The fourth proportional to 50,202.24, 69,279.16 and 27,846.24 is: 38,427.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,202.24 : 69,279.16 = 27,846.24 : x
  2. Step 2: Convert to fraction form
    50,202.24/69,279.16 = 27,846.24/x
  3. Step 3: Cross multiply
    50,202.24x = 69,279.16 × 27,846.24
  4. Step 4: Simplify right side
    50,202.24x = 1,929,164,116.36
  5. Step 5: Solve for x
    x = 1,929,164,116.36/50,202.24
  6. Step 6: Final answer
    x = 38,427.85

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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.