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Finding the Fourth Proportional to 49,634, 68,494.92 and 27,278

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Solution

The fourth proportional to 49,634, 68,494.92 and 27,278 is: 37,643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,634 : 68,494.92 = 27,278 : x
  2. Step 2: Convert to fraction form
    49,634/68,494.92 = 27,278/x
  3. Step 3: Cross multiply
    49,634x = 68,494.92 × 27,278
  4. Step 4: Simplify right side
    49,634x = 1,868,404,427.76
  5. Step 5: Solve for x
    x = 1,868,404,427.76/49,634
  6. Step 6: Final answer
    x = 37,643.64

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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.