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Finding the Fourth Proportional to 77,171.82, 115,816.05 and 32,829.80

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Solution

The fourth proportional to 77,171.82, 115,816.05 and 32,829.80 is: 49,269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,171.82 : 115,816.05 = 32,829.80 : x
  2. Step 2: Convert to fraction form
    77,171.82/115,816.05 = 32,829.80/x
  3. Step 3: Cross multiply
    77,171.82x = 115,816.05 × 32,829.80
  4. Step 4: Simplify right side
    77,171.82x = 3,802,217,179.21
  5. Step 5: Solve for x
    x = 3,802,217,179.21/77,171.82
  6. Step 6: Final answer
    x = 49,269.50

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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.