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Finding the Fourth Proportional to 36,700.80, 50,668.12 and 24,162

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Solution

The fourth proportional to 36,700.80, 50,668.12 and 24,162 is: 33,357.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,700.80 : 50,668.12 = 24,162 : x
  2. Step 2: Convert to fraction form
    36,700.80/50,668.12 = 24,162/x
  3. Step 3: Cross multiply
    36,700.80x = 50,668.12 × 24,162
  4. Step 4: Simplify right side
    36,700.80x = 1,224,243,115.44
  5. Step 5: Solve for x
    x = 1,224,243,115.44/36,700.80
  6. Step 6: Final answer
    x = 33,357.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.