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Finding the Fourth Proportional to 31,535.90, 43,519.49 and 17,388.78

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Solution

The fourth proportional to 31,535.90, 43,519.49 and 17,388.78 is: 23,996.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,535.90 : 43,519.49 = 17,388.78 : x
  2. Step 2: Convert to fraction form
    31,535.90/43,519.49 = 17,388.78/x
  3. Step 3: Cross multiply
    31,535.90x = 43,519.49 × 17,388.78
  4. Step 4: Simplify right side
    31,535.90x = 756,750,750.20
  5. Step 5: Solve for x
    x = 756,750,750.20/31,535.90
  6. Step 6: Final answer
    x = 23,996.49

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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.