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Finding the Fourth Proportional to 50,425.52, 69,586.65 and 27,764.05

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Solution

The fourth proportional to 50,425.52, 69,586.65 and 27,764.05 is: 38,314.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,425.52 : 69,586.65 = 27,764.05 : x
  2. Step 2: Convert to fraction form
    50,425.52/69,586.65 = 27,764.05/x
  3. Step 3: Cross multiply
    50,425.52x = 69,586.65 × 27,764.05
  4. Step 4: Simplify right side
    50,425.52x = 1,932,007,229.93
  5. Step 5: Solve for x
    x = 1,932,007,229.93/50,425.52
  6. Step 6: Final answer
    x = 38,314.08

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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.