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Finding the Fourth Proportional to 110,993.60, 166,500.12 and 31,032.44

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Solution

The fourth proportional to 110,993.60, 166,500.12 and 31,032.44 is: 46,551.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,993.60 : 166,500.12 = 31,032.44 : x
  2. Step 2: Convert to fraction form
    110,993.60/166,500.12 = 31,032.44/x
  3. Step 3: Cross multiply
    110,993.60x = 166,500.12 × 31,032.44
  4. Step 4: Simplify right side
    110,993.60x = 5,166,904,151.39
  5. Step 5: Solve for x
    x = 5,166,904,151.39/110,993.60
  6. Step 6: Final answer
    x = 46,551.37

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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.