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Finding the Fourth Proportional to 37,839.14, 56,739 and 14,127.18

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Solution

The fourth proportional to 37,839.14, 56,739 and 14,127.18 is: 21,183.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,839.14 : 56,739 = 14,127.18 : x
  2. Step 2: Convert to fraction form
    37,839.14/56,739 = 14,127.18/x
  3. Step 3: Cross multiply
    37,839.14x = 56,739 × 14,127.18
  4. Step 4: Simplify right side
    37,839.14x = 801,562,066.02
  5. Step 5: Solve for x
    x = 801,562,066.02/37,839.14
  6. Step 6: Final answer
    x = 21,183.41

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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.