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Finding the Fourth Proportional to 57,243.20, 85,824.80 and 33,857.60

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Solution

The fourth proportional to 57,243.20, 85,824.80 and 33,857.60 is: 50,762.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,243.20 : 85,824.80 = 33,857.60 : x
  2. Step 2: Convert to fraction form
    57,243.20/85,824.80 = 33,857.60/x
  3. Step 3: Cross multiply
    57,243.20x = 85,824.80 × 33,857.60
  4. Step 4: Simplify right side
    57,243.20x = 2,905,821,748.48
  5. Step 5: Solve for x
    x = 2,905,821,748.48/57,243.20
  6. Step 6: Final answer
    x = 50,762.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.