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Finding the Fourth Proportional to 31,696.31, 43,741.22 and 17,549.46

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Solution

The fourth proportional to 31,696.31, 43,741.22 and 17,549.46 is: 24,218.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,696.31 : 43,741.22 = 17,549.46 : x
  2. Step 2: Convert to fraction form
    31,696.31/43,741.22 = 17,549.46/x
  3. Step 3: Cross multiply
    31,696.31x = 43,741.22 × 17,549.46
  4. Step 4: Simplify right side
    31,696.31x = 767,634,702.99
  5. Step 5: Solve for x
    x = 767,634,702.99/31,696.31
  6. Step 6: Final answer
    x = 24,218.42

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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.