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Finding the Fourth Proportional to 110,189.82, 165,235.50 and 31,285.56

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Solution

The fourth proportional to 110,189.82, 165,235.50 and 31,285.56 is: 46,914.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,189.82 : 165,235.50 = 31,285.56 : x
  2. Step 2: Convert to fraction form
    110,189.82/165,235.50 = 31,285.56/x
  3. Step 3: Cross multiply
    110,189.82x = 165,235.50 × 31,285.56
  4. Step 4: Simplify right side
    110,189.82x = 5,169,485,149.38
  5. Step 5: Solve for x
    x = 5,169,485,149.38/110,189.82
  6. Step 6: Final answer
    x = 46,914.36

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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.