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Finding the Fourth Proportional to 110,605.24, 165,907.74 and 27,499.24

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Solution

The fourth proportional to 110,605.24, 165,907.74 and 27,499.24 is: 41,248.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,605.24 : 165,907.74 = 27,499.24 : x
  2. Step 2: Convert to fraction form
    110,605.24/165,907.74 = 27,499.24/x
  3. Step 3: Cross multiply
    110,605.24x = 165,907.74 × 27,499.24
  4. Step 4: Simplify right side
    110,605.24x = 4,562,336,760.12
  5. Step 5: Solve for x
    x = 4,562,336,760.12/110,605.24
  6. Step 6: Final answer
    x = 41,248.83

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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.