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Finding the Fourth Proportional to 123,825.38, 185,738.31 and 30,331.46

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Solution

The fourth proportional to 123,825.38, 185,738.31 and 30,331.46 is: 45,497.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,825.38 : 185,738.31 = 30,331.46 : x
  2. Step 2: Convert to fraction form
    123,825.38/185,738.31 = 30,331.46/x
  3. Step 3: Cross multiply
    123,825.38x = 185,738.31 × 30,331.46
  4. Step 4: Simplify right side
    123,825.38x = 5,633,714,120.23
  5. Step 5: Solve for x
    x = 5,633,714,120.23/123,825.38
  6. Step 6: Final answer
    x = 45,497.25

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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.