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Finding the Fourth Proportional to 84,224.28, 126,336.42 and 21,894.78

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Solution

The fourth proportional to 84,224.28, 126,336.42 and 21,894.78 is: 32,842.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,224.28 : 126,336.42 = 21,894.78 : x
  2. Step 2: Convert to fraction form
    84,224.28/126,336.42 = 21,894.78/x
  3. Step 3: Cross multiply
    84,224.28x = 126,336.42 × 21,894.78
  4. Step 4: Simplify right side
    84,224.28x = 2,766,108,121.89
  5. Step 5: Solve for x
    x = 2,766,108,121.89/84,224.28
  6. Step 6: Final answer
    x = 32,842.17

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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.