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Finding the Fourth Proportional to 50,339.74, 69,467.36 and 27,678.70

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Solution

The fourth proportional to 50,339.74, 69,467.36 and 27,678.70 is: 38,195.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,339.74 : 69,467.36 = 27,678.70 : x
  2. Step 2: Convert to fraction form
    50,339.74/69,467.36 = 27,678.70/x
  3. Step 3: Cross multiply
    50,339.74x = 69,467.36 × 27,678.70
  4. Step 4: Simplify right side
    50,339.74x = 1,922,766,078.84
  5. Step 5: Solve for x
    x = 1,922,766,078.84/50,339.74
  6. Step 6: Final answer
    x = 38,195.79

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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.