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Finding the Fourth Proportional to 49,020, 73,530 and 12,084

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Solution

The fourth proportional to 49,020, 73,530 and 12,084 is: 18,126

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,020 : 73,530 = 12,084 : x
  2. Step 2: Convert to fraction form
    49,020/73,530 = 12,084/x
  3. Step 3: Cross multiply
    49,020x = 73,530 × 12,084
  4. Step 4: Simplify right side
    49,020x = 888,536,520
  5. Step 5: Solve for x
    x = 888,536,520/49,020
  6. Step 6: Final answer
    x = 18,126

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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.