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Finding the Fourth Proportional to 65,344, 90,175.04 and 35,536

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Solution

The fourth proportional to 65,344, 90,175.04 and 35,536 is: 49,039.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,344 : 90,175.04 = 35,536 : x
  2. Step 2: Convert to fraction form
    65,344/90,175.04 = 35,536/x
  3. Step 3: Cross multiply
    65,344x = 90,175.04 × 35,536
  4. Step 4: Simplify right side
    65,344x = 3,204,460,221.44
  5. Step 5: Solve for x
    x = 3,204,460,221.44/65,344
  6. Step 6: Final answer
    x = 49,039.85

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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.