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Finding the Fourth Proportional to 31,525.41, 43,506.68 and 17,378.22

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Solution

The fourth proportional to 31,525.41, 43,506.68 and 17,378.22 is: 23,982.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,525.41 : 43,506.68 = 17,378.22 : x
  2. Step 2: Convert to fraction form
    31,525.41/43,506.68 = 17,378.22/x
  3. Step 3: Cross multiply
    31,525.41x = 43,506.68 × 17,378.22
  4. Step 4: Simplify right side
    31,525.41x = 756,068,569.62
  5. Step 5: Solve for x
    x = 756,068,569.62/31,525.41
  6. Step 6: Final answer
    x = 23,982.83

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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.