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Finding the Fourth Proportional to 49,346.50, 74,020.38 and 14,286.19

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Solution

The fourth proportional to 49,346.50, 74,020.38 and 14,286.19 is: 21,429.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,346.50 : 74,020.38 = 14,286.19 : x
  2. Step 2: Convert to fraction form
    49,346.50/74,020.38 = 14,286.19/x
  3. Step 3: Cross multiply
    49,346.50x = 74,020.38 × 14,286.19
  4. Step 4: Simplify right side
    49,346.50x = 1,057,469,212.55
  5. Step 5: Solve for x
    x = 1,057,469,212.55/49,346.50
  6. Step 6: Final answer
    x = 21,429.47

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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.