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Finding the Fourth Proportional to 99,769.49, 137,684.81 and 54,450.38

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Solution

The fourth proportional to 99,769.49, 137,684.81 and 54,450.38 is: 75,143.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,769.49 : 137,684.81 = 54,450.38 : x
  2. Step 2: Convert to fraction form
    99,769.49/137,684.81 = 54,450.38/x
  3. Step 3: Cross multiply
    99,769.49x = 137,684.81 × 54,450.38
  4. Step 4: Simplify right side
    99,769.49x = 7,496,990,310.78
  5. Step 5: Solve for x
    x = 7,496,990,310.78/99,769.49
  6. Step 6: Final answer
    x = 75,143.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.