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Finding the Fourth Proportional to 31,012.56, 46,512.67 and 8,826.13

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Solution

The fourth proportional to 31,012.56, 46,512.67 and 8,826.13 is: 13,237.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,012.56 : 46,512.67 = 8,826.13 : x
  2. Step 2: Convert to fraction form
    31,012.56/46,512.67 = 8,826.13/x
  3. Step 3: Cross multiply
    31,012.56x = 46,512.67 × 8,826.13
  4. Step 4: Simplify right side
    31,012.56x = 410,526,872.07
  5. Step 5: Solve for x
    x = 410,526,872.07/31,012.56
  6. Step 6: Final answer
    x = 13,237.44

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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.