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Finding the Fourth Proportional to 49,399, 74,098.62 and 12,463

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Solution

The fourth proportional to 49,399, 74,098.62 and 12,463 is: 18,694.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,399 : 74,098.62 = 12,463 : x
  2. Step 2: Convert to fraction form
    49,399/74,098.62 = 12,463/x
  3. Step 3: Cross multiply
    49,399x = 74,098.62 × 12,463
  4. Step 4: Simplify right side
    49,399x = 923,491,101.06
  5. Step 5: Solve for x
    x = 923,491,101.06/49,399
  6. Step 6: Final answer
    x = 18,694.53

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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.