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Finding the Fourth Proportional to 50,549.90, 69,758.42 and 27,889.09

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Solution

The fourth proportional to 50,549.90, 69,758.42 and 27,889.09 is: 38,486.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,549.90 : 69,758.42 = 27,889.09 : x
  2. Step 2: Convert to fraction form
    50,549.90/69,758.42 = 27,889.09/x
  3. Step 3: Cross multiply
    50,549.90x = 69,758.42 × 27,889.09
  4. Step 4: Simplify right side
    50,549.90x = 1,945,498,539.80
  5. Step 5: Solve for x
    x = 1,945,498,539.80/50,549.90
  6. Step 6: Final answer
    x = 38,486.70

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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.