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Finding the Fourth Proportional to 80,419.14, 110,983.49 and 46,433.90

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Solution

The fourth proportional to 80,419.14, 110,983.49 and 46,433.90 is: 64,081.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,419.14 : 110,983.49 = 46,433.90 : x
  2. Step 2: Convert to fraction form
    80,419.14/110,983.49 = 46,433.90/x
  3. Step 3: Cross multiply
    80,419.14x = 110,983.49 × 46,433.90
  4. Step 4: Simplify right side
    80,419.14x = 5,153,396,276.31
  5. Step 5: Solve for x
    x = 5,153,396,276.31/80,419.14
  6. Step 6: Final answer
    x = 64,081.71

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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.