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Finding the Fourth Proportional to 110,741.60, 166,090.80 and 35,843.60

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Solution

The fourth proportional to 110,741.60, 166,090.80 and 35,843.60 is: 53,758.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,741.60 : 166,090.80 = 35,843.60 : x
  2. Step 2: Convert to fraction form
    110,741.60/166,090.80 = 35,843.60/x
  3. Step 3: Cross multiply
    110,741.60x = 166,090.80 × 35,843.60
  4. Step 4: Simplify right side
    110,741.60x = 5,953,292,198.88
  5. Step 5: Solve for x
    x = 5,953,292,198.88/110,741.60
  6. Step 6: Final answer
    x = 53,758.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.