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Finding the Fourth Proportional to 65,517.38, 90,416.49 and 35,709.38

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Solution

The fourth proportional to 65,517.38, 90,416.49 and 35,709.38 is: 49,280.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,517.38 : 90,416.49 = 35,709.38 : x
  2. Step 2: Convert to fraction form
    65,517.38/90,416.49 = 35,709.38/x
  3. Step 3: Cross multiply
    65,517.38x = 90,416.49 × 35,709.38
  4. Step 4: Simplify right side
    65,517.38x = 3,228,716,799.68
  5. Step 5: Solve for x
    x = 3,228,716,799.68/65,517.38
  6. Step 6: Final answer
    x = 49,280.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.