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Finding the Fourth Proportional to 110,731.50, 166,097.25 and 35,914.23

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Solution

The fourth proportional to 110,731.50, 166,097.25 and 35,914.23 is: 53,871.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,731.50 : 166,097.25 = 35,914.23 : x
  2. Step 2: Convert to fraction form
    110,731.50/166,097.25 = 35,914.23/x
  3. Step 3: Cross multiply
    110,731.50x = 166,097.25 × 35,914.23
  4. Step 4: Simplify right side
    110,731.50x = 5,965,254,838.87
  5. Step 5: Solve for x
    x = 5,965,254,838.87/110,731.50
  6. Step 6: Final answer
    x = 53,871.35

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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.