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Finding the Fourth Proportional to 31,012.88, 46,491.62 and 11,277.54

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Solution

The fourth proportional to 31,012.88, 46,491.62 and 11,277.54 is: 16,906.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,012.88 : 46,491.62 = 11,277.54 : x
  2. Step 2: Convert to fraction form
    31,012.88/46,491.62 = 11,277.54/x
  3. Step 3: Cross multiply
    31,012.88x = 46,491.62 × 11,277.54
  4. Step 4: Simplify right side
    31,012.88x = 524,311,047.83
  5. Step 5: Solve for x
    x = 524,311,047.83/31,012.88
  6. Step 6: Final answer
    x = 16,906.23

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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.