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Finding the Fourth Proportional to 31,071.22, 46,608 and 8,584.18

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Solution

The fourth proportional to 31,071.22, 46,608 and 8,584.18 is: 12,876.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,071.22 : 46,608 = 8,584.18 : x
  2. Step 2: Convert to fraction form
    31,071.22/46,608 = 8,584.18/x
  3. Step 3: Cross multiply
    31,071.22x = 46,608 × 8,584.18
  4. Step 4: Simplify right side
    31,071.22x = 400,091,461.44
  5. Step 5: Solve for x
    x = 400,091,461.44/31,071.22
  6. Step 6: Final answer
    x = 12,876.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.