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Finding the Fourth Proportional to 27,968.21, 41,938.68 and 9,950.44

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Solution

The fourth proportional to 27,968.21, 41,938.68 and 9,950.44 is: 14,920.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,968.21 : 41,938.68 = 9,950.44 : x
  2. Step 2: Convert to fraction form
    27,968.21/41,938.68 = 9,950.44/x
  3. Step 3: Cross multiply
    27,968.21x = 41,938.68 × 9,950.44
  4. Step 4: Simplify right side
    27,968.21x = 417,308,319.02
  5. Step 5: Solve for x
    x = 417,308,319.02/27,968.21
  6. Step 6: Final answer
    x = 14,920.81

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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.