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Finding the Fourth Proportional to 90,983.88, 136,475.82 and 35,541

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Solution

The fourth proportional to 90,983.88, 136,475.82 and 35,541 is: 53,311.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,983.88 : 136,475.82 = 35,541 : x
  2. Step 2: Convert to fraction form
    90,983.88/136,475.82 = 35,541/x
  3. Step 3: Cross multiply
    90,983.88x = 136,475.82 × 35,541
  4. Step 4: Simplify right side
    90,983.88x = 4,850,487,118.62
  5. Step 5: Solve for x
    x = 4,850,487,118.62/90,983.88
  6. Step 6: Final answer
    x = 53,311.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.