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Finding the Fourth Proportional to 31,845.09, 43,945.11 and 17,697

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Solution

The fourth proportional to 31,845.09, 43,945.11 and 17,697 is: 24,421.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,845.09 : 43,945.11 = 17,697 : x
  2. Step 2: Convert to fraction form
    31,845.09/43,945.11 = 17,697/x
  3. Step 3: Cross multiply
    31,845.09x = 43,945.11 × 17,697
  4. Step 4: Simplify right side
    31,845.09x = 777,696,611.67
  5. Step 5: Solve for x
    x = 777,696,611.67/31,845.09
  6. Step 6: Final answer
    x = 24,421.24

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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.