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Finding the Fourth Proportional to 49,430, 68,213.40 and 27,074.48

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Solution

The fourth proportional to 49,430, 68,213.40 and 27,074.48 is: 37,362.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,430 : 68,213.40 = 27,074.48 : x
  2. Step 2: Convert to fraction form
    49,430/68,213.40 = 27,074.48/x
  3. Step 3: Cross multiply
    49,430x = 68,213.40 × 27,074.48
  4. Step 4: Simplify right side
    49,430x = 1,846,842,334.03
  5. Step 5: Solve for x
    x = 1,846,842,334.03/49,430
  6. Step 6: Final answer
    x = 37,362.78

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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.