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Finding the Fourth Proportional to 32,833.50, 49,255.11 and 12,055.38

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Solution

The fourth proportional to 32,833.50, 49,255.11 and 12,055.38 is: 18,084.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,833.50 : 49,255.11 = 12,055.38 : x
  2. Step 2: Convert to fraction form
    32,833.50/49,255.11 = 12,055.38/x
  3. Step 3: Cross multiply
    32,833.50x = 49,255.11 × 12,055.38
  4. Step 4: Simplify right side
    32,833.50x = 593,789,067.99
  5. Step 5: Solve for x
    x = 593,789,067.99/32,833.50
  6. Step 6: Final answer
    x = 18,084.85

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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.