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Finding the Fourth Proportional to 57,033.56, 85,564.92 and 23,742.56

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Solution

The fourth proportional to 57,033.56, 85,564.92 and 23,742.56 is: 35,619.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,033.56 : 85,564.92 = 23,742.56 : x
  2. Step 2: Convert to fraction form
    57,033.56/85,564.92 = 23,742.56/x
  3. Step 3: Cross multiply
    57,033.56x = 85,564.92 × 23,742.56
  4. Step 4: Simplify right side
    57,033.56x = 2,031,530,247.00
  5. Step 5: Solve for x
    x = 2,031,530,247.00/57,033.56
  6. Step 6: Final answer
    x = 35,619.91

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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.