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Finding the Fourth Proportional to 57,201.38, 78,937.92 and 34,845.38

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Solution

The fourth proportional to 57,201.38, 78,937.92 and 34,845.38 is: 48,086.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,201.38 : 78,937.92 = 34,845.38 : x
  2. Step 2: Convert to fraction form
    57,201.38/78,937.92 = 34,845.38/x
  3. Step 3: Cross multiply
    57,201.38x = 78,937.92 × 34,845.38
  4. Step 4: Simplify right side
    57,201.38x = 2,750,621,424.12
  5. Step 5: Solve for x
    x = 2,750,621,424.12/57,201.38
  6. Step 6: Final answer
    x = 48,086.63

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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.