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Finding the Fourth Proportional to 54,304.42, 74,938.87 and 31,642

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Solution

The fourth proportional to 54,304.42, 74,938.87 and 31,642 is: 43,665.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,304.42 : 74,938.87 = 31,642 : x
  2. Step 2: Convert to fraction form
    54,304.42/74,938.87 = 31,642/x
  3. Step 3: Cross multiply
    54,304.42x = 74,938.87 × 31,642
  4. Step 4: Simplify right side
    54,304.42x = 2,371,215,724.54
  5. Step 5: Solve for x
    x = 2,371,215,724.54/54,304.42
  6. Step 6: Final answer
    x = 43,665.24

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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.