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Finding the Fourth Proportional to 47,866.83, 71,800.26 and 21,540.84

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Solution

The fourth proportional to 47,866.83, 71,800.26 and 21,540.84 is: 32,311.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,866.83 : 71,800.26 = 21,540.84 : x
  2. Step 2: Convert to fraction form
    47,866.83/71,800.26 = 21,540.84/x
  3. Step 3: Cross multiply
    47,866.83x = 71,800.26 × 21,540.84
  4. Step 4: Simplify right side
    47,866.83x = 1,546,637,912.62
  5. Step 5: Solve for x
    x = 1,546,637,912.62/47,866.83
  6. Step 6: Final answer
    x = 32,311.27

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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.