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Finding the Fourth Proportional to 31,049.88, 46,562.01 and 12,327.33

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Solution

The fourth proportional to 31,049.88, 46,562.01 and 12,327.33 is: 18,485.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,049.88 : 46,562.01 = 12,327.33 : x
  2. Step 2: Convert to fraction form
    31,049.88/46,562.01 = 12,327.33/x
  3. Step 3: Cross multiply
    31,049.88x = 46,562.01 × 12,327.33
  4. Step 4: Simplify right side
    31,049.88x = 573,985,262.73
  5. Step 5: Solve for x
    x = 573,985,262.73/31,049.88
  6. Step 6: Final answer
    x = 18,485.91

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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.