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Finding the Fourth Proportional to 71,328.98, 106,930.02 and 33,865.94

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Solution

The fourth proportional to 71,328.98, 106,930.02 and 33,865.94 is: 50,768.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,328.98 : 106,930.02 = 33,865.94 : x
  2. Step 2: Convert to fraction form
    71,328.98/106,930.02 = 33,865.94/x
  3. Step 3: Cross multiply
    71,328.98x = 106,930.02 × 33,865.94
  4. Step 4: Simplify right side
    71,328.98x = 3,621,285,641.52
  5. Step 5: Solve for x
    x = 3,621,285,641.52/71,328.98
  6. Step 6: Final answer
    x = 50,768.78

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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.