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Finding the Fourth Proportional to 39,782.41, 54,843.17 and 31,644.70

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Solution

The fourth proportional to 39,782.41, 54,843.17 and 31,644.70 is: 43,624.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,782.41 : 54,843.17 = 31,644.70 : x
  2. Step 2: Convert to fraction form
    39,782.41/54,843.17 = 31,644.70/x
  3. Step 3: Cross multiply
    39,782.41x = 54,843.17 × 31,644.70
  4. Step 4: Simplify right side
    39,782.41x = 1,735,495,366.37
  5. Step 5: Solve for x
    x = 1,735,495,366.37/39,782.41
  6. Step 6: Final answer
    x = 43,624.69

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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.