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Finding the Fourth Proportional to 121,059.82, 181,589.12 and 31,102.44

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Solution

The fourth proportional to 121,059.82, 181,589.12 and 31,102.44 is: 46,653.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,059.82 : 181,589.12 = 31,102.44 : x
  2. Step 2: Convert to fraction form
    121,059.82/181,589.12 = 31,102.44/x
  3. Step 3: Cross multiply
    121,059.82x = 181,589.12 × 31,102.44
  4. Step 4: Simplify right side
    121,059.82x = 5,647,864,709.45
  5. Step 5: Solve for x
    x = 5,647,864,709.45/121,059.82
  6. Step 6: Final answer
    x = 46,653.50

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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.