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Finding the Fourth Proportional to 71,794.49, 107,696.93 and 21,874.46

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Solution

The fourth proportional to 71,794.49, 107,696.93 and 21,874.46 is: 32,813.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,794.49 : 107,696.93 = 21,874.46 : x
  2. Step 2: Convert to fraction form
    71,794.49/107,696.93 = 21,874.46/x
  3. Step 3: Cross multiply
    71,794.49x = 107,696.93 × 21,874.46
  4. Step 4: Simplify right side
    71,794.49x = 2,355,811,539.55
  5. Step 5: Solve for x
    x = 2,355,811,539.55/71,794.49
  6. Step 6: Final answer
    x = 32,813.27

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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.