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Finding the Fourth Proportional to 49,434, 68,219.16 and 27,078

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Solution

The fourth proportional to 49,434, 68,219.16 and 27,078 is: 37,367.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,434 : 68,219.16 = 27,078 : x
  2. Step 2: Convert to fraction form
    49,434/68,219.16 = 27,078/x
  3. Step 3: Cross multiply
    49,434x = 68,219.16 × 27,078
  4. Step 4: Simplify right side
    49,434x = 1,847,238,414.48
  5. Step 5: Solve for x
    x = 1,847,238,414.48/49,434
  6. Step 6: Final answer
    x = 37,367.77

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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.