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Finding the Fourth Proportional to 33,977.31, 50,986.01 and 12,935.06

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Solution

The fourth proportional to 33,977.31, 50,986.01 and 12,935.06 is: 19,410.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,977.31 : 50,986.01 = 12,935.06 : x
  2. Step 2: Convert to fraction form
    33,977.31/50,986.01 = 12,935.06/x
  3. Step 3: Cross multiply
    33,977.31x = 50,986.01 × 12,935.06
  4. Step 4: Simplify right side
    33,977.31x = 659,507,098.51
  5. Step 5: Solve for x
    x = 659,507,098.51/33,977.31
  6. Step 6: Final answer
    x = 19,410.22

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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.