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Finding the Fourth Proportional to 84,299.50, 126,456.54 and 21,970

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Solution

The fourth proportional to 84,299.50, 126,456.54 and 21,970 is: 32,956.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,299.50 : 126,456.54 = 21,970 : x
  2. Step 2: Convert to fraction form
    84,299.50/126,456.54 = 21,970/x
  3. Step 3: Cross multiply
    84,299.50x = 126,456.54 × 21,970
  4. Step 4: Simplify right side
    84,299.50x = 2,778,250,183.80
  5. Step 5: Solve for x
    x = 2,778,250,183.80/84,299.50
  6. Step 6: Final answer
    x = 32,956.90

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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.