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Finding the Fourth Proportional to 43,406.12, 65,119 and 13,825.64

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Solution

The fourth proportional to 43,406.12, 65,119 and 13,825.64 is: 20,741.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,406.12 : 65,119 = 13,825.64 : x
  2. Step 2: Convert to fraction form
    43,406.12/65,119 = 13,825.64/x
  3. Step 3: Cross multiply
    43,406.12x = 65,119 × 13,825.64
  4. Step 4: Simplify right side
    43,406.12x = 900,311,851.16
  5. Step 5: Solve for x
    x = 900,311,851.16/43,406.12
  6. Step 6: Final answer
    x = 20,741.59

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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.