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Finding the Fourth Proportional to 31,279.34, 46,912.53 and 11,544.41

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Solution

The fourth proportional to 31,279.34, 46,912.53 and 11,544.41 is: 17,314.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,279.34 : 46,912.53 = 11,544.41 : x
  2. Step 2: Convert to fraction form
    31,279.34/46,912.53 = 11,544.41/x
  3. Step 3: Cross multiply
    31,279.34x = 46,912.53 × 11,544.41
  4. Step 4: Simplify right side
    31,279.34x = 541,577,480.46
  5. Step 5: Solve for x
    x = 541,577,480.46/31,279.34
  6. Step 6: Final answer
    x = 17,314.22

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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.