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Finding the Fourth Proportional to 37,980, 56,964.06 and 13,014.27

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Solution

The fourth proportional to 37,980, 56,964.06 and 13,014.27 is: 19,519.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,980 : 56,964.06 = 13,014.27 : x
  2. Step 2: Convert to fraction form
    37,980/56,964.06 = 13,014.27/x
  3. Step 3: Cross multiply
    37,980x = 56,964.06 × 13,014.27
  4. Step 4: Simplify right side
    37,980x = 741,345,657.14
  5. Step 5: Solve for x
    x = 741,345,657.14/37,980
  6. Step 6: Final answer
    x = 19,519.37

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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.