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Finding the Fourth Proportional to 54,504.84, 75,223.40 and 30,631

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Solution

The fourth proportional to 54,504.84, 75,223.40 and 30,631 is: 42,274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,504.84 : 75,223.40 = 30,631 : x
  2. Step 2: Convert to fraction form
    54,504.84/75,223.40 = 30,631/x
  3. Step 3: Cross multiply
    54,504.84x = 75,223.40 × 30,631
  4. Step 4: Simplify right side
    54,504.84x = 2,304,167,965.40
  5. Step 5: Solve for x
    x = 2,304,167,965.40/54,504.84
  6. Step 6: Final answer
    x = 42,274.56

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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.