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Finding the Fourth Proportional to 33,150.96, 49,641.96 and 32,166

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Solution

The fourth proportional to 33,150.96, 49,641.96 and 32,166 is: 48,167.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,150.96 : 49,641.96 = 32,166 : x
  2. Step 2: Convert to fraction form
    33,150.96/49,641.96 = 32,166/x
  3. Step 3: Cross multiply
    33,150.96x = 49,641.96 × 32,166
  4. Step 4: Simplify right side
    33,150.96x = 1,596,783,285.36
  5. Step 5: Solve for x
    x = 1,596,783,285.36/33,150.96
  6. Step 6: Final answer
    x = 48,167.03

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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.