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Finding the Fourth Proportional to 106,339.12, 159,509.30 and 27,447.96

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Solution

The fourth proportional to 106,339.12, 159,509.30 and 27,447.96 is: 41,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,339.12 : 159,509.30 = 27,447.96 : x
  2. Step 2: Convert to fraction form
    106,339.12/159,509.30 = 27,447.96/x
  3. Step 3: Cross multiply
    106,339.12x = 159,509.30 × 27,447.96
  4. Step 4: Simplify right side
    106,339.12x = 4,378,204,886.03
  5. Step 5: Solve for x
    x = 4,378,204,886.03/106,339.12
  6. Step 6: Final answer
    x = 41,172.10

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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.