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Finding the Fourth Proportional to 30,412.87, 41,967.67 and 16,800.31

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Solution

The fourth proportional to 30,412.87, 41,967.67 and 16,800.31 is: 23,183.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,412.87 : 41,967.67 = 16,800.31 : x
  2. Step 2: Convert to fraction form
    30,412.87/41,967.67 = 16,800.31/x
  3. Step 3: Cross multiply
    30,412.87x = 41,967.67 × 16,800.31
  4. Step 4: Simplify right side
    30,412.87x = 705,069,865.98
  5. Step 5: Solve for x
    x = 705,069,865.98/30,412.87
  6. Step 6: Final answer
    x = 23,183.27

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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.