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Finding the Fourth Proportional to 31,736.50, 47,604.59 and 14,194.02

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Solution

The fourth proportional to 31,736.50, 47,604.59 and 14,194.02 is: 21,290.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,736.50 : 47,604.59 = 14,194.02 : x
  2. Step 2: Convert to fraction form
    31,736.50/47,604.59 = 14,194.02/x
  3. Step 3: Cross multiply
    31,736.50x = 47,604.59 × 14,194.02
  4. Step 4: Simplify right side
    31,736.50x = 675,700,502.55
  5. Step 5: Solve for x
    x = 675,700,502.55/31,736.50
  6. Step 6: Final answer
    x = 21,290.96

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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.