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Finding the Fourth Proportional to 31,829, 43,930.44 and 18,400.80

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Solution

The fourth proportional to 31,829, 43,930.44 and 18,400.80 is: 25,396.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,829 : 43,930.44 = 18,400.80 : x
  2. Step 2: Convert to fraction form
    31,829/43,930.44 = 18,400.80/x
  3. Step 3: Cross multiply
    31,829x = 43,930.44 × 18,400.80
  4. Step 4: Simplify right side
    31,829x = 808,355,240.35
  5. Step 5: Solve for x
    x = 808,355,240.35/31,829
  6. Step 6: Final answer
    x = 25,396.82

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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.