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Finding the Fourth Proportional to 65,320, 90,142.24 and 35,512.64

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Solution

The fourth proportional to 65,320, 90,142.24 and 35,512.64 is: 49,007.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,320 : 90,142.24 = 35,512.64 : x
  2. Step 2: Convert to fraction form
    65,320/90,142.24 = 35,512.64/x
  3. Step 3: Cross multiply
    65,320x = 90,142.24 × 35,512.64
  4. Step 4: Simplify right side
    65,320x = 3,201,188,917.91
  5. Step 5: Solve for x
    x = 3,201,188,917.91/65,320
  6. Step 6: Final answer
    x = 49,007.79

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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.