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Finding the Fourth Proportional to 31,741.50, 43,803.27 and 17,596.50

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Solution

The fourth proportional to 31,741.50, 43,803.27 and 17,596.50 is: 24,283.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,741.50 : 43,803.27 = 17,596.50 : x
  2. Step 2: Convert to fraction form
    31,741.50/43,803.27 = 17,596.50/x
  3. Step 3: Cross multiply
    31,741.50x = 43,803.27 × 17,596.50
  4. Step 4: Simplify right side
    31,741.50x = 770,784,240.56
  5. Step 5: Solve for x
    x = 770,784,240.56/31,741.50
  6. Step 6: Final answer
    x = 24,283.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.