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Finding the Fourth Proportional to 57,208.20, 85,812.30 and 33,822.60

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Solution

The fourth proportional to 57,208.20, 85,812.30 and 33,822.60 is: 50,733.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,208.20 : 85,812.30 = 33,822.60 : x
  2. Step 2: Convert to fraction form
    57,208.20/85,812.30 = 33,822.60/x
  3. Step 3: Cross multiply
    57,208.20x = 85,812.30 × 33,822.60
  4. Step 4: Simplify right side
    57,208.20x = 2,902,395,097.98
  5. Step 5: Solve for x
    x = 2,902,395,097.98/57,208.20
  6. Step 6: Final answer
    x = 50,733.90

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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.