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Finding the Fourth Proportional to 57,189.72, 85,795.37 and 21,661.68

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Solution

The fourth proportional to 57,189.72, 85,795.37 and 21,661.68 is: 32,496.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,189.72 : 85,795.37 = 21,661.68 : x
  2. Step 2: Convert to fraction form
    57,189.72/85,795.37 = 21,661.68/x
  3. Step 3: Cross multiply
    57,189.72x = 85,795.37 × 21,661.68
  4. Step 4: Simplify right side
    57,189.72x = 1,858,471,742.11
  5. Step 5: Solve for x
    x = 1,858,471,742.11/57,189.72
  6. Step 6: Final answer
    x = 32,496.61

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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.