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Finding the Fourth Proportional to 54,934.50, 82,418.13 and 38,954.82

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Solution

The fourth proportional to 54,934.50, 82,418.13 and 38,954.82 is: 58,443.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,934.50 : 82,418.13 = 38,954.82 : x
  2. Step 2: Convert to fraction form
    54,934.50/82,418.13 = 38,954.82/x
  3. Step 3: Cross multiply
    54,934.50x = 82,418.13 × 38,954.82
  4. Step 4: Simplify right side
    54,934.50x = 3,210,583,418.89
  5. Step 5: Solve for x
    x = 3,210,583,418.89/54,934.50
  6. Step 6: Final answer
    x = 58,443.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.