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Finding the Fourth Proportional to 29,632, 44,448 and 7,744

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Solution

The fourth proportional to 29,632, 44,448 and 7,744 is: 11,616

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,632 : 44,448 = 7,744 : x
  2. Step 2: Convert to fraction form
    29,632/44,448 = 7,744/x
  3. Step 3: Cross multiply
    29,632x = 44,448 × 7,744
  4. Step 4: Simplify right side
    29,632x = 344,205,312
  5. Step 5: Solve for x
    x = 344,205,312/29,632
  6. Step 6: Final answer
    x = 11,616

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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.