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Finding the Fourth Proportional to 57,203.20, 85,829.10 and 27,605.80

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Solution

The fourth proportional to 57,203.20, 85,829.10 and 27,605.80 is: 41,420.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,203.20 : 85,829.10 = 27,605.80 : x
  2. Step 2: Convert to fraction form
    57,203.20/85,829.10 = 27,605.80/x
  3. Step 3: Cross multiply
    57,203.20x = 85,829.10 × 27,605.80
  4. Step 4: Simplify right side
    57,203.20x = 2,369,380,968.78
  5. Step 5: Solve for x
    x = 2,369,380,968.78/57,203.20
  6. Step 6: Final answer
    x = 41,420.43

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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.