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Finding the Fourth Proportional to 36,142.38, 54,213.12 and 9,847.08

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Solution

The fourth proportional to 36,142.38, 54,213.12 and 9,847.08 is: 14,770.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,142.38 : 54,213.12 = 9,847.08 : x
  2. Step 2: Convert to fraction form
    36,142.38/54,213.12 = 9,847.08/x
  3. Step 3: Cross multiply
    36,142.38x = 54,213.12 × 9,847.08
  4. Step 4: Simplify right side
    36,142.38x = 533,840,929.69
  5. Step 5: Solve for x
    x = 533,840,929.69/36,142.38
  6. Step 6: Final answer
    x = 14,770.50

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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.