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Finding the Fourth Proportional to 41,383.50, 62,114.10 and 21,676.20

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Solution

The fourth proportional to 41,383.50, 62,114.10 and 21,676.20 is: 32,534.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,383.50 : 62,114.10 = 21,676.20 : x
  2. Step 2: Convert to fraction form
    41,383.50/62,114.10 = 21,676.20/x
  3. Step 3: Cross multiply
    41,383.50x = 62,114.10 × 21,676.20
  4. Step 4: Simplify right side
    41,383.50x = 1,346,397,654.42
  5. Step 5: Solve for x
    x = 1,346,397,654.42/41,383.50
  6. Step 6: Final answer
    x = 32,534.65

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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.