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Finding the Fourth Proportional to 47,642.52, 71,461.92 and 22,692.48

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Solution

The fourth proportional to 47,642.52, 71,461.92 and 22,692.48 is: 34,037.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,642.52 : 71,461.92 = 22,692.48 : x
  2. Step 2: Convert to fraction form
    47,642.52/71,461.92 = 22,692.48/x
  3. Step 3: Cross multiply
    47,642.52x = 71,461.92 × 22,692.48
  4. Step 4: Simplify right side
    47,642.52x = 1,621,648,190.36
  5. Step 5: Solve for x
    x = 1,621,648,190.36/47,642.52
  6. Step 6: Final answer
    x = 34,037.83

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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.