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Finding the Fourth Proportional to 68,541.37, 102,813.83 and 32,509.41

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Solution

The fourth proportional to 68,541.37, 102,813.83 and 32,509.41 is: 48,764.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,541.37 : 102,813.83 = 32,509.41 : x
  2. Step 2: Convert to fraction form
    68,541.37/102,813.83 = 32,509.41/x
  3. Step 3: Cross multiply
    68,541.37x = 102,813.83 × 32,509.41
  4. Step 4: Simplify right side
    68,541.37x = 3,342,416,790.59
  5. Step 5: Solve for x
    x = 3,342,416,790.59/68,541.37
  6. Step 6: Final answer
    x = 48,764.95

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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.