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Finding the Fourth Proportional to 36,214.40, 49,975.99 and 20,082.85

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Solution

The fourth proportional to 36,214.40, 49,975.99 and 20,082.85 is: 27,714.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,214.40 : 49,975.99 = 20,082.85 : x
  2. Step 2: Convert to fraction form
    36,214.40/49,975.99 = 20,082.85/x
  3. Step 3: Cross multiply
    36,214.40x = 49,975.99 × 20,082.85
  4. Step 4: Simplify right side
    36,214.40x = 1,003,660,085.42
  5. Step 5: Solve for x
    x = 1,003,660,085.42/36,214.40
  6. Step 6: Final answer
    x = 27,714.39

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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.