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Finding the Fourth Proportional to 99,744, 149,616 and 50,496

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Solution

The fourth proportional to 99,744, 149,616 and 50,496 is: 75,744

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,744 : 149,616 = 50,496 : x
  2. Step 2: Convert to fraction form
    99,744/149,616 = 50,496/x
  3. Step 3: Cross multiply
    99,744x = 149,616 × 50,496
  4. Step 4: Simplify right side
    99,744x = 7,555,009,536
  5. Step 5: Solve for x
    x = 7,555,009,536/99,744
  6. Step 6: Final answer
    x = 75,744

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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.