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Finding the Fourth Proportional to 30,762.38, 42,175.20 and 30,201.86

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Solution

The fourth proportional to 30,762.38, 42,175.20 and 30,201.86 is: 41,406.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762.38 : 42,175.20 = 30,201.86 : x
  2. Step 2: Convert to fraction form
    30,762.38/42,175.20 = 30,201.86/x
  3. Step 3: Cross multiply
    30,762.38x = 42,175.20 × 30,201.86
  4. Step 4: Simplify right side
    30,762.38x = 1,273,769,485.87
  5. Step 5: Solve for x
    x = 1,273,769,485.87/30,762.38
  6. Step 6: Final answer
    x = 41,406.73

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.