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Finding the Fourth Proportional to 43,410.38, 65,115.41 and 13,830.59

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Solution

The fourth proportional to 43,410.38, 65,115.41 and 13,830.59 is: 20,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,410.38 : 65,115.41 = 13,830.59 : x
  2. Step 2: Convert to fraction form
    43,410.38/65,115.41 = 13,830.59/x
  3. Step 3: Cross multiply
    43,410.38x = 65,115.41 × 13,830.59
  4. Step 4: Simplify right side
    43,410.38x = 900,584,632.03
  5. Step 5: Solve for x
    x = 900,584,632.03/43,410.38
  6. Step 6: Final answer
    x = 20,745.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.