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Finding the Fourth Proportional to 49,676, 74,514.18 and 47,184.44

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Solution

The fourth proportional to 49,676, 74,514.18 and 47,184.44 is: 70,776.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,676 : 74,514.18 = 47,184.44 : x
  2. Step 2: Convert to fraction form
    49,676/74,514.18 = 47,184.44/x
  3. Step 3: Cross multiply
    49,676x = 74,514.18 × 47,184.44
  4. Step 4: Simplify right side
    49,676x = 3,515,909,855.36
  5. Step 5: Solve for x
    x = 3,515,909,855.36/49,676
  6. Step 6: Final answer
    x = 70,776.83

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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.