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Finding the Fourth Proportional to 31,033.88, 46,523.36 and 12,327.02

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Solution

The fourth proportional to 31,033.88, 46,523.36 and 12,327.02 is: 18,479.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,033.88 : 46,523.36 = 12,327.02 : x
  2. Step 2: Convert to fraction form
    31,033.88/46,523.36 = 12,327.02/x
  3. Step 3: Cross multiply
    31,033.88x = 46,523.36 × 12,327.02
  4. Step 4: Simplify right side
    31,033.88x = 573,494,389.19
  5. Step 5: Solve for x
    x = 573,494,389.19/31,033.88
  6. Step 6: Final answer
    x = 18,479.62

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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.