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Finding the Fourth Proportional to 30,676.76, 46,000.41 and 18,198.41

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Solution

The fourth proportional to 30,676.76, 46,000.41 and 18,198.41 is: 27,288.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,676.76 : 46,000.41 = 18,198.41 : x
  2. Step 2: Convert to fraction form
    30,676.76/46,000.41 = 18,198.41/x
  3. Step 3: Cross multiply
    30,676.76x = 46,000.41 × 18,198.41
  4. Step 4: Simplify right side
    30,676.76x = 837,134,023.10
  5. Step 5: Solve for x
    x = 837,134,023.10/30,676.76
  6. Step 6: Final answer
    x = 27,288.87

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1.5x scale

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.