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Finding the Fourth Proportional to 31,419.78, 43,359.30 and 17,995.49

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Solution

The fourth proportional to 31,419.78, 43,359.30 and 17,995.49 is: 24,833.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,419.78 : 43,359.30 = 17,995.49 : x
  2. Step 2: Convert to fraction form
    31,419.78/43,359.30 = 17,995.49/x
  3. Step 3: Cross multiply
    31,419.78x = 43,359.30 × 17,995.49
  4. Step 4: Simplify right side
    31,419.78x = 780,271,849.56
  5. Step 5: Solve for x
    x = 780,271,849.56/31,419.78
  6. Step 6: Final answer
    x = 24,833.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.