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Finding the Fourth Proportional to 38,816, 58,224 and 9,632

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Solution

The fourth proportional to 38,816, 58,224 and 9,632 is: 14,448

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,816 : 58,224 = 9,632 : x
  2. Step 2: Convert to fraction form
    38,816/58,224 = 9,632/x
  3. Step 3: Cross multiply
    38,816x = 58,224 × 9,632
  4. Step 4: Simplify right side
    38,816x = 560,813,568
  5. Step 5: Solve for x
    x = 560,813,568/38,816
  6. Step 6: Final answer
    x = 14,448

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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.