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Finding the Fourth Proportional to 49,392.16, 68,161.04 and 27,036

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Solution

The fourth proportional to 49,392.16, 68,161.04 and 27,036 is: 37,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,392.16 : 68,161.04 = 27,036 : x
  2. Step 2: Convert to fraction form
    49,392.16/68,161.04 = 27,036/x
  3. Step 3: Cross multiply
    49,392.16x = 68,161.04 × 27,036
  4. Step 4: Simplify right side
    49,392.16x = 1,842,801,877.44
  5. Step 5: Solve for x
    x = 1,842,801,877.44/49,392.16
  6. Step 6: Final answer
    x = 37,309.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.