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Finding the Fourth Proportional to 76,716.87, 115,055.87 and 32,343.27

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Solution

The fourth proportional to 76,716.87, 115,055.87 and 32,343.27 is: 48,506.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,716.87 : 115,055.87 = 32,343.27 : x
  2. Step 2: Convert to fraction form
    76,716.87/115,055.87 = 32,343.27/x
  3. Step 3: Cross multiply
    76,716.87x = 115,055.87 × 32,343.27
  4. Step 4: Simplify right side
    76,716.87x = 3,721,282,906.78
  5. Step 5: Solve for x
    x = 3,721,282,906.78/76,716.87
  6. Step 6: Final answer
    x = 48,506.71

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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.