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Finding the Fourth Proportional to 57,004.97, 85,507.65 and 33,615

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Solution

The fourth proportional to 57,004.97, 85,507.65 and 33,615 is: 50,422.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,004.97 : 85,507.65 = 33,615 : x
  2. Step 2: Convert to fraction form
    57,004.97/85,507.65 = 33,615/x
  3. Step 3: Cross multiply
    57,004.97x = 85,507.65 × 33,615
  4. Step 4: Simplify right side
    57,004.97x = 2,874,339,654.75
  5. Step 5: Solve for x
    x = 2,874,339,654.75/57,004.97
  6. Step 6: Final answer
    x = 50,422.62

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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.