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Finding the Fourth Proportional to 31,498.98, 43,466.52 and 17,351.82

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Solution

The fourth proportional to 31,498.98, 43,466.52 and 17,351.82 is: 23,944.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,498.98 : 43,466.52 = 17,351.82 : x
  2. Step 2: Convert to fraction form
    31,498.98/43,466.52 = 17,351.82/x
  3. Step 3: Cross multiply
    31,498.98x = 43,466.52 × 17,351.82
  4. Step 4: Simplify right side
    31,498.98x = 754,223,296.14
  5. Step 5: Solve for x
    x = 754,223,296.14/31,498.98
  6. Step 6: Final answer
    x = 23,944.37

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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.