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Finding the Fourth Proportional to 31,071.75, 46,613.72 and 12,348.29

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Solution

The fourth proportional to 31,071.75, 46,613.72 and 12,348.29 is: 18,524.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,071.75 : 46,613.72 = 12,348.29 : x
  2. Step 2: Convert to fraction form
    31,071.75/46,613.72 = 12,348.29/x
  3. Step 3: Cross multiply
    31,071.75x = 46,613.72 × 12,348.29
  4. Step 4: Simplify right side
    31,071.75x = 575,599,787.33
  5. Step 5: Solve for x
    x = 575,599,787.33/31,071.75
  6. Step 6: Final answer
    x = 18,524.86

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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.