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Finding the Fourth Proportional to 80,560, 120,865.68 and 33,800.32

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Solution

The fourth proportional to 80,560, 120,865.68 and 33,800.32 is: 50,711.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,560 : 120,865.68 = 33,800.32 : x
  2. Step 2: Convert to fraction form
    80,560/120,865.68 = 33,800.32/x
  3. Step 3: Cross multiply
    80,560x = 120,865.68 × 33,800.32
  4. Step 4: Simplify right side
    80,560x = 4,085,298,661.02
  5. Step 5: Solve for x
    x = 4,085,298,661.02/80,560
  6. Step 6: Final answer
    x = 50,711.25

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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.