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Finding the Fourth Proportional to 38,540, 57,821.67 and 27,317.06

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Solution

The fourth proportional to 38,540, 57,821.67 and 27,317.06 is: 40,983.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,540 : 57,821.67 = 27,317.06 : x
  2. Step 2: Convert to fraction form
    38,540/57,821.67 = 27,317.06/x
  3. Step 3: Cross multiply
    38,540x = 57,821.67 × 27,317.06
  4. Step 4: Simplify right side
    38,540x = 1,579,518,028.69
  5. Step 5: Solve for x
    x = 1,579,518,028.69/38,540
  6. Step 6: Final answer
    x = 40,983.86

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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.