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Finding the Fourth Proportional to 107,003.49, 160,467.38 and 31,086.24

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Solution

The fourth proportional to 107,003.49, 160,467.38 and 31,086.24 is: 46,618.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,003.49 : 160,467.38 = 31,086.24 : x
  2. Step 2: Convert to fraction form
    107,003.49/160,467.38 = 31,086.24/x
  3. Step 3: Cross multiply
    107,003.49x = 160,467.38 × 31,086.24
  4. Step 4: Simplify right side
    107,003.49x = 4,988,327,147.12
  5. Step 5: Solve for x
    x = 4,988,327,147.12/107,003.49
  6. Step 6: Final answer
    x = 46,618.36

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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.