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Finding the Fourth Proportional to 68,589.60, 102,868.82 and 33,032.78

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Solution

The fourth proportional to 68,589.60, 102,868.82 and 33,032.78 is: 49,541.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,589.60 : 102,868.82 = 33,032.78 : x
  2. Step 2: Convert to fraction form
    68,589.60/102,868.82 = 33,032.78/x
  3. Step 3: Cross multiply
    68,589.60x = 102,868.82 × 33,032.78
  4. Step 4: Simplify right side
    68,589.60x = 3,398,043,099.92
  5. Step 5: Solve for x
    x = 3,398,043,099.92/68,589.60
  6. Step 6: Final answer
    x = 49,541.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.