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Finding the Fourth Proportional to 32,668, 45,082 and 17,764

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Solution

The fourth proportional to 32,668, 45,082 and 17,764 is: 24,514.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,668 : 45,082 = 17,764 : x
  2. Step 2: Convert to fraction form
    32,668/45,082 = 17,764/x
  3. Step 3: Cross multiply
    32,668x = 45,082 × 17,764
  4. Step 4: Simplify right side
    32,668x = 800,836,648
  5. Step 5: Solve for x
    x = 800,836,648/32,668
  6. Step 6: Final answer
    x = 24,514.41

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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.