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Finding the Fourth Proportional to 49,812, 68,741.64 and 27,456

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Solution

The fourth proportional to 49,812, 68,741.64 and 27,456 is: 37,889.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,812 : 68,741.64 = 27,456 : x
  2. Step 2: Convert to fraction form
    49,812/68,741.64 = 27,456/x
  3. Step 3: Cross multiply
    49,812x = 68,741.64 × 27,456
  4. Step 4: Simplify right side
    49,812x = 1,887,370,467.84
  5. Step 5: Solve for x
    x = 1,887,370,467.84/49,812
  6. Step 6: Final answer
    x = 37,889.88

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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.