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Finding the Fourth Proportional to 71,021.41, 106,532.94 and 21,100.30

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Solution

The fourth proportional to 71,021.41, 106,532.94 and 21,100.30 is: 31,650.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,021.41 : 106,532.94 = 21,100.30 : x
  2. Step 2: Convert to fraction form
    71,021.41/106,532.94 = 21,100.30/x
  3. Step 3: Cross multiply
    71,021.41x = 106,532.94 × 21,100.30
  4. Step 4: Simplify right side
    71,021.41x = 2,247,876,993.88
  5. Step 5: Solve for x
    x = 2,247,876,993.88/71,021.41
  6. Step 6: Final answer
    x = 31,650.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.