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Finding the Fourth Proportional to 38,647, 57,987.18 and 20,874.12

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Solution

The fourth proportional to 38,647, 57,987.18 and 20,874.12 is: 31,320.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,647 : 57,987.18 = 20,874.12 : x
  2. Step 2: Convert to fraction form
    38,647/57,987.18 = 20,874.12/x
  3. Step 3: Cross multiply
    38,647x = 57,987.18 × 20,874.12
  4. Step 4: Simplify right side
    38,647x = 1,210,431,353.78
  5. Step 5: Solve for x
    x = 1,210,431,353.78/38,647
  6. Step 6: Final answer
    x = 31,320.19

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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.