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Finding the Fourth Proportional to 36,825, 50,818.50 and 20,058

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Solution

The fourth proportional to 36,825, 50,818.50 and 20,058 is: 27,680.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,825 : 50,818.50 = 20,058 : x
  2. Step 2: Convert to fraction form
    36,825/50,818.50 = 20,058/x
  3. Step 3: Cross multiply
    36,825x = 50,818.50 × 20,058
  4. Step 4: Simplify right side
    36,825x = 1,019,317,473
  5. Step 5: Solve for x
    x = 1,019,317,473/36,825
  6. Step 6: Final answer
    x = 27,680.04

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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.