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Finding the Fourth Proportional to 31,674.86, 43,715.94 and 18,243.50

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Solution

The fourth proportional to 31,674.86, 43,715.94 and 18,243.50 is: 25,178.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,674.86 : 43,715.94 = 18,243.50 : x
  2. Step 2: Convert to fraction form
    31,674.86/43,715.94 = 18,243.50/x
  3. Step 3: Cross multiply
    31,674.86x = 43,715.94 × 18,243.50
  4. Step 4: Simplify right side
    31,674.86x = 797,531,751.39
  5. Step 5: Solve for x
    x = 797,531,751.39/31,674.86
  6. Step 6: Final answer
    x = 25,178.70

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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.