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Finding the Fourth Proportional to 31,696.26, 43,740.82 and 17,550

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Solution

The fourth proportional to 31,696.26, 43,740.82 and 17,550 is: 24,218.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,696.26 : 43,740.82 = 17,550 : x
  2. Step 2: Convert to fraction form
    31,696.26/43,740.82 = 17,550/x
  3. Step 3: Cross multiply
    31,696.26x = 43,740.82 × 17,550
  4. Step 4: Simplify right side
    31,696.26x = 767,651,391
  5. Step 5: Solve for x
    x = 767,651,391/31,696.26
  6. Step 6: Final answer
    x = 24,218.99

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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.