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Finding the Fourth Proportional to 77,080.82, 115,664.96 and 30,366.50

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Solution

The fourth proportional to 77,080.82, 115,664.96 and 30,366.50 is: 45,566.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,080.82 : 115,664.96 = 30,366.50 : x
  2. Step 2: Convert to fraction form
    77,080.82/115,664.96 = 30,366.50/x
  3. Step 3: Cross multiply
    77,080.82x = 115,664.96 × 30,366.50
  4. Step 4: Simplify right side
    77,080.82x = 3,512,339,505.43
  5. Step 5: Solve for x
    x = 3,512,339,505.43/77,080.82
  6. Step 6: Final answer
    x = 45,566.97

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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.