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Finding the Fourth Proportional to 80,982.68, 111,756.28 and 45,175

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Solution

The fourth proportional to 80,982.68, 111,756.28 and 45,175 is: 62,341.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,982.68 : 111,756.28 = 45,175 : x
  2. Step 2: Convert to fraction form
    80,982.68/111,756.28 = 45,175/x
  3. Step 3: Cross multiply
    80,982.68x = 111,756.28 × 45,175
  4. Step 4: Simplify right side
    80,982.68x = 5,048,589,949
  5. Step 5: Solve for x
    x = 5,048,589,949/80,982.68
  6. Step 6: Final answer
    x = 62,341.60

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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.