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Finding the Fourth Proportional to 57,102.96, 85,631.76 and 22,020.24

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Solution

The fourth proportional to 57,102.96, 85,631.76 and 22,020.24 is: 33,021.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,102.96 : 85,631.76 = 22,020.24 : x
  2. Step 2: Convert to fraction form
    57,102.96/85,631.76 = 22,020.24/x
  3. Step 3: Cross multiply
    57,102.96x = 85,631.76 × 22,020.24
  4. Step 4: Simplify right side
    57,102.96x = 1,885,631,906.82
  5. Step 5: Solve for x
    x = 1,885,631,906.82/57,102.96
  6. Step 6: Final answer
    x = 33,021.61

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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.