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Finding the Fourth Proportional to 57,223.10, 85,847.02 and 23,489.20

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Solution

The fourth proportional to 57,223.10, 85,847.02 and 23,489.20 is: 35,238.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,223.10 : 85,847.02 = 23,489.20 : x
  2. Step 2: Convert to fraction form
    57,223.10/85,847.02 = 23,489.20/x
  3. Step 3: Cross multiply
    57,223.10x = 85,847.02 × 23,489.20
  4. Step 4: Simplify right side
    57,223.10x = 2,016,477,822.18
  5. Step 5: Solve for x
    x = 2,016,477,822.18/57,223.10
  6. Step 6: Final answer
    x = 35,238.88

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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.