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Finding the Fourth Proportional to 112,147.94, 168,198.96 and 32,164.50

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Solution

The fourth proportional to 112,147.94, 168,198.96 and 32,164.50 is: 48,240.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,147.94 : 168,198.96 = 32,164.50 : x
  2. Step 2: Convert to fraction form
    112,147.94/168,198.96 = 32,164.50/x
  3. Step 3: Cross multiply
    112,147.94x = 168,198.96 × 32,164.50
  4. Step 4: Simplify right side
    112,147.94x = 5,410,035,448.92
  5. Step 5: Solve for x
    x = 5,410,035,448.92/112,147.94
  6. Step 6: Final answer
    x = 48,240.17

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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.