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Finding the Fourth Proportional to 79,632, 119,448 and 24,228

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Solution

The fourth proportional to 79,632, 119,448 and 24,228 is: 36,342

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,632 : 119,448 = 24,228 : x
  2. Step 2: Convert to fraction form
    79,632/119,448 = 24,228/x
  3. Step 3: Cross multiply
    79,632x = 119,448 × 24,228
  4. Step 4: Simplify right side
    79,632x = 2,893,986,144
  5. Step 5: Solve for x
    x = 2,893,986,144/79,632
  6. Step 6: Final answer
    x = 36,342

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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.