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Finding the Fourth Proportional to 37,983.65, 52,406.77 and 21,850.12

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Solution

The fourth proportional to 37,983.65, 52,406.77 and 21,850.12 is: 30,147.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,983.65 : 52,406.77 = 21,850.12 : x
  2. Step 2: Convert to fraction form
    37,983.65/52,406.77 = 21,850.12/x
  3. Step 3: Cross multiply
    37,983.65x = 52,406.77 × 21,850.12
  4. Step 4: Simplify right side
    37,983.65x = 1,145,093,842.03
  5. Step 5: Solve for x
    x = 1,145,093,842.03/37,983.65
  6. Step 6: Final answer
    x = 30,147.02

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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.