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Finding the Fourth Proportional to 57,282.80, 85,851.30 and 27,636.80

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Solution

The fourth proportional to 57,282.80, 85,851.30 and 27,636.80 is: 41,420.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,282.80 : 85,851.30 = 27,636.80 : x
  2. Step 2: Convert to fraction form
    57,282.80/85,851.30 = 27,636.80/x
  3. Step 3: Cross multiply
    57,282.80x = 85,851.30 × 27,636.80
  4. Step 4: Simplify right side
    57,282.80x = 2,372,655,207.84
  5. Step 5: Solve for x
    x = 2,372,655,207.84/57,282.80
  6. Step 6: Final answer
    x = 41,420.03

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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.