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Finding the Fourth Proportional to 31,635, 43,626.60 and 20,295.77

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Solution

The fourth proportional to 31,635, 43,626.60 and 20,295.77 is: 27,989.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,635 : 43,626.60 = 20,295.77 : x
  2. Step 2: Convert to fraction form
    31,635/43,626.60 = 20,295.77/x
  3. Step 3: Cross multiply
    31,635x = 43,626.60 × 20,295.77
  4. Step 4: Simplify right side
    31,635x = 885,435,221.35
  5. Step 5: Solve for x
    x = 885,435,221.35/31,635
  6. Step 6: Final answer
    x = 27,989.10

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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.