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Finding the Fourth Proportional to 110,731.60, 166,075.80 and 35,833.60

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Solution

The fourth proportional to 110,731.60, 166,075.80 and 35,833.60 is: 53,743.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,731.60 : 166,075.80 = 35,833.60 : x
  2. Step 2: Convert to fraction form
    110,731.60/166,075.80 = 35,833.60/x
  3. Step 3: Cross multiply
    110,731.60x = 166,075.80 × 35,833.60
  4. Step 4: Simplify right side
    110,731.60x = 5,951,093,786.88
  5. Step 5: Solve for x
    x = 5,951,093,786.88/110,731.60
  6. Step 6: Final answer
    x = 53,743.41

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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.