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Finding the Fourth Proportional to 52,847.54, 72,930.17 and 30,189.54

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Solution

The fourth proportional to 52,847.54, 72,930.17 and 30,189.54 is: 41,661.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,847.54 : 72,930.17 = 30,189.54 : x
  2. Step 2: Convert to fraction form
    52,847.54/72,930.17 = 30,189.54/x
  3. Step 3: Cross multiply
    52,847.54x = 72,930.17 × 30,189.54
  4. Step 4: Simplify right side
    52,847.54x = 2,201,728,633.38
  5. Step 5: Solve for x
    x = 2,201,728,633.38/52,847.54
  6. Step 6: Final answer
    x = 41,661.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.