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Finding the Fourth Proportional to 106,606.56, 159,912 and 27,716.16

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Solution

The fourth proportional to 106,606.56, 159,912 and 27,716.16 is: 41,574.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,606.56 : 159,912 = 27,716.16 : x
  2. Step 2: Convert to fraction form
    106,606.56/159,912 = 27,716.16/x
  3. Step 3: Cross multiply
    106,606.56x = 159,912 × 27,716.16
  4. Step 4: Simplify right side
    106,606.56x = 4,432,146,577.92
  5. Step 5: Solve for x
    x = 4,432,146,577.92/106,606.56
  6. Step 6: Final answer
    x = 41,574.80

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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.