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Finding the Fourth Proportional to 49,131, 73,696.98 and 12,195

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Solution

The fourth proportional to 49,131, 73,696.98 and 12,195 is: 18,292.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,131 : 73,696.98 = 12,195 : x
  2. Step 2: Convert to fraction form
    49,131/73,696.98 = 12,195/x
  3. Step 3: Cross multiply
    49,131x = 73,696.98 × 12,195
  4. Step 4: Simplify right side
    49,131x = 898,734,671.10
  5. Step 5: Solve for x
    x = 898,734,671.10/49,131
  6. Step 6: Final answer
    x = 18,292.62

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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.