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Finding the Fourth Proportional to 41,797.94, 62,702.79 and 12,218

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Solution

The fourth proportional to 41,797.94, 62,702.79 and 12,218 is: 18,328.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,797.94 : 62,702.79 = 12,218 : x
  2. Step 2: Convert to fraction form
    41,797.94/62,702.79 = 12,218/x
  3. Step 3: Cross multiply
    41,797.94x = 62,702.79 × 12,218
  4. Step 4: Simplify right side
    41,797.94x = 766,102,688.22
  5. Step 5: Solve for x
    x = 766,102,688.22/41,797.94
  6. Step 6: Final answer
    x = 18,328.72

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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.