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Finding the Fourth Proportional to 52,819.62, 79,231.86 and 21,633

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Solution

The fourth proportional to 52,819.62, 79,231.86 and 21,633 is: 32,450.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,819.62 : 79,231.86 = 21,633 : x
  2. Step 2: Convert to fraction form
    52,819.62/79,231.86 = 21,633/x
  3. Step 3: Cross multiply
    52,819.62x = 79,231.86 × 21,633
  4. Step 4: Simplify right side
    52,819.62x = 1,714,022,827.38
  5. Step 5: Solve for x
    x = 1,714,022,827.38/52,819.62
  6. Step 6: Final answer
    x = 32,450.50

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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.