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Finding the Fourth Proportional to 65,449.38, 90,320.49 and 36,770.25

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Solution

The fourth proportional to 65,449.38, 90,320.49 and 36,770.25 is: 50,743.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,449.38 : 90,320.49 = 36,770.25 : x
  2. Step 2: Convert to fraction form
    65,449.38/90,320.49 = 36,770.25/x
  3. Step 3: Cross multiply
    65,449.38x = 90,320.49 × 36,770.25
  4. Step 4: Simplify right side
    65,449.38x = 3,321,106,997.42
  5. Step 5: Solve for x
    x = 3,321,106,997.42/65,449.38
  6. Step 6: Final answer
    x = 50,743.14

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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.