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Finding the Fourth Proportional to 47,694.70, 71,542.05 and 41,128.30

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Solution

The fourth proportional to 47,694.70, 71,542.05 and 41,128.30 is: 61,692.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,694.70 : 71,542.05 = 41,128.30 : x
  2. Step 2: Convert to fraction form
    47,694.70/71,542.05 = 41,128.30/x
  3. Step 3: Cross multiply
    47,694.70x = 71,542.05 × 41,128.30
  4. Step 4: Simplify right side
    47,694.70x = 2,942,402,895.02
  5. Step 5: Solve for x
    x = 2,942,402,895.02/47,694.70
  6. Step 6: Final answer
    x = 61,692.45

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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.