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Finding the Fourth Proportional to 49,372, 68,135.07 and 27,016

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Solution

The fourth proportional to 49,372, 68,135.07 and 27,016 is: 37,283.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,372 : 68,135.07 = 27,016 : x
  2. Step 2: Convert to fraction form
    49,372/68,135.07 = 27,016/x
  3. Step 3: Cross multiply
    49,372x = 68,135.07 × 27,016
  4. Step 4: Simplify right side
    49,372x = 1,840,737,051.12
  5. Step 5: Solve for x
    x = 1,840,737,051.12/49,372
  6. Step 6: Final answer
    x = 37,283.02

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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.