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Finding the Fourth Proportional to 49,398.16, 68,171.40 and 27,042.16

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Solution

The fourth proportional to 49,398.16, 68,171.40 and 27,042.16 is: 37,319.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,398.16 : 68,171.40 = 27,042.16 : x
  2. Step 2: Convert to fraction form
    49,398.16/68,171.40 = 27,042.16/x
  3. Step 3: Cross multiply
    49,398.16x = 68,171.40 × 27,042.16
  4. Step 4: Simplify right side
    49,398.16x = 1,843,501,906.22
  5. Step 5: Solve for x
    x = 1,843,501,906.22/49,398.16
  6. Step 6: Final answer
    x = 37,319.24

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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.