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Finding the Fourth Proportional to 80,406.88, 110,969 and 46,416.48

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Solution

The fourth proportional to 80,406.88, 110,969 and 46,416.48 is: 64,059.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,406.88 : 110,969 = 46,416.48 : x
  2. Step 2: Convert to fraction form
    80,406.88/110,969 = 46,416.48/x
  3. Step 3: Cross multiply
    80,406.88x = 110,969 × 46,416.48
  4. Step 4: Simplify right side
    80,406.88x = 5,150,790,369.12
  5. Step 5: Solve for x
    x = 5,150,790,369.12/80,406.88
  6. Step 6: Final answer
    x = 64,059.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.