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Finding the Fourth Proportional to 32,856.36, 49,279.68 and 12,075

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Solution

The fourth proportional to 32,856.36, 49,279.68 and 12,075 is: 18,110.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,856.36 : 49,279.68 = 12,075 : x
  2. Step 2: Convert to fraction form
    32,856.36/49,279.68 = 12,075/x
  3. Step 3: Cross multiply
    32,856.36x = 49,279.68 × 12,075
  4. Step 4: Simplify right side
    32,856.36x = 595,052,136
  5. Step 5: Solve for x
    x = 595,052,136/32,856.36
  6. Step 6: Final answer
    x = 18,110.71

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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.