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Finding the Fourth Proportional to 31,926.71, 47,840.40 and 12,194.50

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Solution

The fourth proportional to 31,926.71, 47,840.40 and 12,194.50 is: 18,272.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,926.71 : 47,840.40 = 12,194.50 : x
  2. Step 2: Convert to fraction form
    31,926.71/47,840.40 = 12,194.50/x
  3. Step 3: Cross multiply
    31,926.71x = 47,840.40 × 12,194.50
  4. Step 4: Simplify right side
    31,926.71x = 583,389,757.80
  5. Step 5: Solve for x
    x = 583,389,757.80/31,926.71
  6. Step 6: Final answer
    x = 18,272.78

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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.