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Finding the Fourth Proportional to 65,383.38, 90,238.57 and 36,714.90

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Solution

The fourth proportional to 65,383.38, 90,238.57 and 36,714.90 is: 50,671.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,383.38 : 90,238.57 = 36,714.90 : x
  2. Step 2: Convert to fraction form
    65,383.38/90,238.57 = 36,714.90/x
  3. Step 3: Cross multiply
    65,383.38x = 90,238.57 × 36,714.90
  4. Step 4: Simplify right side
    65,383.38x = 3,313,099,872.98
  5. Step 5: Solve for x
    x = 3,313,099,872.98/65,383.38
  6. Step 6: Final answer
    x = 50,671.90

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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.