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Finding the Fourth Proportional to 67,503.80, 101,276.22 and 47,820.44

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Solution

The fourth proportional to 67,503.80, 101,276.22 and 47,820.44 is: 71,745.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,503.80 : 101,276.22 = 47,820.44 : x
  2. Step 2: Convert to fraction form
    67,503.80/101,276.22 = 47,820.44/x
  3. Step 3: Cross multiply
    67,503.80x = 101,276.22 × 47,820.44
  4. Step 4: Simplify right side
    67,503.80x = 4,843,073,401.94
  5. Step 5: Solve for x
    x = 4,843,073,401.94/67,503.80
  6. Step 6: Final answer
    x = 71,745.20

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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.