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Finding the Fourth Proportional to 31,930.26, 44,062.92 and 17,782.80

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Solution

The fourth proportional to 31,930.26, 44,062.92 and 17,782.80 is: 24,539.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,930.26 : 44,062.92 = 17,782.80 : x
  2. Step 2: Convert to fraction form
    31,930.26/44,062.92 = 17,782.80/x
  3. Step 3: Cross multiply
    31,930.26x = 44,062.92 × 17,782.80
  4. Step 4: Simplify right side
    31,930.26x = 783,562,093.78
  5. Step 5: Solve for x
    x = 783,562,093.78/31,930.26
  6. Step 6: Final answer
    x = 24,539.80

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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.