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Finding the Fourth Proportional to 75,286.32, 103,634.38 and 65,072.70

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Solution

The fourth proportional to 75,286.32, 103,634.38 and 65,072.70 is: 89,574.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,286.32 : 103,634.38 = 65,072.70 : x
  2. Step 2: Convert to fraction form
    75,286.32/103,634.38 = 65,072.70/x
  3. Step 3: Cross multiply
    75,286.32x = 103,634.38 × 65,072.70
  4. Step 4: Simplify right side
    75,286.32x = 6,743,768,919.43
  5. Step 5: Solve for x
    x = 6,743,768,919.43/75,286.32
  6. Step 6: Final answer
    x = 89,574.96

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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.