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Finding the Fourth Proportional to 80,033.44, 120,050.16 and 24,628

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Solution

The fourth proportional to 80,033.44, 120,050.16 and 24,628 is: 36,942

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,033.44 : 120,050.16 = 24,628 : x
  2. Step 2: Convert to fraction form
    80,033.44/120,050.16 = 24,628/x
  3. Step 3: Cross multiply
    80,033.44x = 120,050.16 × 24,628
  4. Step 4: Simplify right side
    80,033.44x = 2,956,595,340.48
  5. Step 5: Solve for x
    x = 2,956,595,340.48/80,033.44
  6. Step 6: Final answer
    x = 36,942

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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.