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Finding the Fourth Proportional to 50,514.54, 69,708.72 and 27,853.14

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Solution

The fourth proportional to 50,514.54, 69,708.72 and 27,853.14 is: 38,436.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,514.54 : 69,708.72 = 27,853.14 : x
  2. Step 2: Convert to fraction form
    50,514.54/69,708.72 = 27,853.14/x
  3. Step 3: Cross multiply
    50,514.54x = 69,708.72 × 27,853.14
  4. Step 4: Simplify right side
    50,514.54x = 1,941,606,911.65
  5. Step 5: Solve for x
    x = 1,941,606,911.65/50,514.54
  6. Step 6: Final answer
    x = 38,436.60

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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.