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Finding the Fourth Proportional to 110,101.30, 165,119.55 and 31,222.42

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Solution

The fourth proportional to 110,101.30, 165,119.55 and 31,222.42 is: 46,824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,101.30 : 165,119.55 = 31,222.42 : x
  2. Step 2: Convert to fraction form
    110,101.30/165,119.55 = 31,222.42/x
  3. Step 3: Cross multiply
    110,101.30x = 165,119.55 × 31,222.42
  4. Step 4: Simplify right side
    110,101.30x = 5,155,431,940.31
  5. Step 5: Solve for x
    x = 5,155,431,940.31/110,101.30
  6. Step 6: Final answer
    x = 46,824.44

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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.