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Finding the Fourth Proportional to 57,245.38, 78,946.92 and 35,737.09

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Solution

The fourth proportional to 57,245.38, 78,946.92 and 35,737.09 is: 49,284.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,245.38 : 78,946.92 = 35,737.09 : x
  2. Step 2: Convert to fraction form
    57,245.38/78,946.92 = 35,737.09/x
  3. Step 3: Cross multiply
    57,245.38x = 78,946.92 × 35,737.09
  4. Step 4: Simplify right side
    57,245.38x = 2,821,332,987.90
  5. Step 5: Solve for x
    x = 2,821,332,987.90/57,245.38
  6. Step 6: Final answer
    x = 49,284.90

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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.