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Finding the Fourth Proportional to 32,775.23, 49,162.85 and 8,151.23

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Solution

The fourth proportional to 32,775.23, 49,162.85 and 8,151.23 is: 12,226.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,775.23 : 49,162.85 = 8,151.23 : x
  2. Step 2: Convert to fraction form
    32,775.23/49,162.85 = 8,151.23/x
  3. Step 3: Cross multiply
    32,775.23x = 49,162.85 × 8,151.23
  4. Step 4: Simplify right side
    32,775.23x = 400,737,472.37
  5. Step 5: Solve for x
    x = 400,737,472.37/32,775.23
  6. Step 6: Final answer
    x = 12,226.84

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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.