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Finding the Fourth Proportional to 30,896.50, 46,372.60 and 16,115.80

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Solution

The fourth proportional to 30,896.50, 46,372.60 and 16,115.80 is: 24,188.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,896.50 : 46,372.60 = 16,115.80 : x
  2. Step 2: Convert to fraction form
    30,896.50/46,372.60 = 16,115.80/x
  3. Step 3: Cross multiply
    30,896.50x = 46,372.60 × 16,115.80
  4. Step 4: Simplify right side
    30,896.50x = 747,331,473.03
  5. Step 5: Solve for x
    x = 747,331,473.03/30,896.50
  6. Step 6: Final answer
    x = 24,188.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.