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Finding the Fourth Proportional to 47,626.50, 71,424.42 and 16,027.98

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Solution

The fourth proportional to 47,626.50, 71,424.42 and 16,027.98 is: 24,036.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,626.50 : 71,424.42 = 16,027.98 : x
  2. Step 2: Convert to fraction form
    47,626.50/71,424.42 = 16,027.98/x
  3. Step 3: Cross multiply
    47,626.50x = 71,424.42 × 16,027.98
  4. Step 4: Simplify right side
    47,626.50x = 1,144,789,175.27
  5. Step 5: Solve for x
    x = 1,144,789,175.27/47,626.50
  6. Step 6: Final answer
    x = 24,036.81

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