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Finding the Fourth Proportional to 31,563.65, 43,557.81 and 20,233.14

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Solution

The fourth proportional to 31,563.65, 43,557.81 and 20,233.14 is: 27,921.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,563.65 : 43,557.81 = 20,233.14 : x
  2. Step 2: Convert to fraction form
    31,563.65/43,557.81 = 20,233.14/x
  3. Step 3: Cross multiply
    31,563.65x = 43,557.81 × 20,233.14
  4. Step 4: Simplify right side
    31,563.65x = 881,311,267.82
  5. Step 5: Solve for x
    x = 881,311,267.82/31,563.65
  6. Step 6: Final answer
    x = 27,921.72

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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.