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Finding the Fourth Proportional to 35,996.56, 49,674.89 and 19,864

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Solution

The fourth proportional to 35,996.56, 49,674.89 and 19,864 is: 27,412.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,996.56 : 49,674.89 = 19,864 : x
  2. Step 2: Convert to fraction form
    35,996.56/49,674.89 = 19,864/x
  3. Step 3: Cross multiply
    35,996.56x = 49,674.89 × 19,864
  4. Step 4: Simplify right side
    35,996.56x = 986,742,014.96
  5. Step 5: Solve for x
    x = 986,742,014.96/35,996.56
  6. Step 6: Final answer
    x = 27,412.12

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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.