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Finding the Fourth Proportional to 20,650.49, 30,757.16 and 20,549.80

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Solution

The fourth proportional to 20,650.49, 30,757.16 and 20,549.80 is: 30,607.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,650.49 : 30,757.16 = 20,549.80 : x
  2. Step 2: Convert to fraction form
    20,650.49/30,757.16 = 20,549.80/x
  3. Step 3: Cross multiply
    20,650.49x = 30,757.16 × 20,549.80
  4. Step 4: Simplify right side
    20,650.49x = 632,053,306.93
  5. Step 5: Solve for x
    x = 632,053,306.93/20,650.49
  6. Step 6: Final answer
    x = 30,607.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.