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Finding the Fourth Proportional to 77,309.53, 115,997.30 and 32,957.17

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Solution

The fourth proportional to 77,309.53, 115,997.30 and 32,957.17 is: 49,449.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,309.53 : 115,997.30 = 32,957.17 : x
  2. Step 2: Convert to fraction form
    77,309.53/115,997.30 = 32,957.17/x
  3. Step 3: Cross multiply
    77,309.53x = 115,997.30 × 32,957.17
  4. Step 4: Simplify right side
    77,309.53x = 3,822,942,735.64
  5. Step 5: Solve for x
    x = 3,822,942,735.64/77,309.53
  6. Step 6: Final answer
    x = 49,449.83

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Why These Related Problems?

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