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Finding the Fourth Proportional to 31,817, 43,907.46 and 18,569

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Solution

The fourth proportional to 31,817, 43,907.46 and 18,569 is: 25,625.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,817 : 43,907.46 = 18,569 : x
  2. Step 2: Convert to fraction form
    31,817/43,907.46 = 18,569/x
  3. Step 3: Cross multiply
    31,817x = 43,907.46 × 18,569
  4. Step 4: Simplify right side
    31,817x = 815,317,624.74
  5. Step 5: Solve for x
    x = 815,317,624.74/31,817
  6. Step 6: Final answer
    x = 25,625.22

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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.