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Finding the Fourth Proportional to 49,399, 68,170.62 and 27,043

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Solution

The fourth proportional to 49,399, 68,170.62 and 27,043 is: 37,319.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,399 : 68,170.62 = 27,043 : x
  2. Step 2: Convert to fraction form
    49,399/68,170.62 = 27,043/x
  3. Step 3: Cross multiply
    49,399x = 68,170.62 × 27,043
  4. Step 4: Simplify right side
    49,399x = 1,843,538,076.66
  5. Step 5: Solve for x
    x = 1,843,538,076.66/49,399
  6. Step 6: Final answer
    x = 37,319.34

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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.