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Finding the Fourth Proportional to 31,012.28, 46,511.41 and 8,825.16

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Solution

The fourth proportional to 31,012.28, 46,511.41 and 8,825.16 is: 13,235.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,012.28 : 46,511.41 = 8,825.16 : x
  2. Step 2: Convert to fraction form
    31,012.28/46,511.41 = 8,825.16/x
  3. Step 3: Cross multiply
    31,012.28x = 46,511.41 × 8,825.16
  4. Step 4: Simplify right side
    31,012.28x = 410,470,635.08
  5. Step 5: Solve for x
    x = 410,470,635.08/31,012.28
  6. Step 6: Final answer
    x = 13,235.75

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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.