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Finding the Fourth Proportional to 54,142.12, 74,710.02 and 30,268

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Solution

The fourth proportional to 54,142.12, 74,710.02 and 30,268 is: 41,766.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,142.12 : 74,710.02 = 30,268 : x
  2. Step 2: Convert to fraction form
    54,142.12/74,710.02 = 30,268/x
  3. Step 3: Cross multiply
    54,142.12x = 74,710.02 × 30,268
  4. Step 4: Simplify right side
    54,142.12x = 2,261,322,885.36
  5. Step 5: Solve for x
    x = 2,261,322,885.36/54,142.12
  6. Step 6: Final answer
    x = 41,766.43

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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.