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Finding the Fourth Proportional to 45,794.72, 68,697.84 and 16,205.60

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Solution

The fourth proportional to 45,794.72, 68,697.84 and 16,205.60 is: 24,310.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,794.72 : 68,697.84 = 16,205.60 : x
  2. Step 2: Convert to fraction form
    45,794.72/68,697.84 = 16,205.60/x
  3. Step 3: Cross multiply
    45,794.72x = 68,697.84 × 16,205.60
  4. Step 4: Simplify right side
    45,794.72x = 1,113,289,715.90
  5. Step 5: Solve for x
    x = 1,113,289,715.90/45,794.72
  6. Step 6: Final answer
    x = 24,310.44

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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.