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Finding the Fourth Proportional to 57,107.56, 85,738.80 and 32,164.96

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Solution

The fourth proportional to 57,107.56, 85,738.80 and 32,164.96 is: 48,291.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,107.56 : 85,738.80 = 32,164.96 : x
  2. Step 2: Convert to fraction form
    57,107.56/85,738.80 = 32,164.96/x
  3. Step 3: Cross multiply
    57,107.56x = 85,738.80 × 32,164.96
  4. Step 4: Simplify right side
    57,107.56x = 2,757,785,072.45
  5. Step 5: Solve for x
    x = 2,757,785,072.45/57,107.56
  6. Step 6: Final answer
    x = 48,291.07

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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.