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Finding the Fourth Proportional to 39,745.38, 54,869.96 and 30,650.86

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Solution

The fourth proportional to 39,745.38, 54,869.96 and 30,650.86 is: 42,314.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,745.38 : 54,869.96 = 30,650.86 : x
  2. Step 2: Convert to fraction form
    39,745.38/54,869.96 = 30,650.86/x
  3. Step 3: Cross multiply
    39,745.38x = 54,869.96 × 30,650.86
  4. Step 4: Simplify right side
    39,745.38x = 1,681,811,126.33
  5. Step 5: Solve for x
    x = 1,681,811,126.33/39,745.38
  6. Step 6: Final answer
    x = 42,314.63

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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.