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Finding the Fourth Proportional to 36,143.28, 54,209.34 and 9,850.14

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Solution

The fourth proportional to 36,143.28, 54,209.34 and 9,850.14 is: 14,773.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,143.28 : 54,209.34 = 9,850.14 : x
  2. Step 2: Convert to fraction form
    36,143.28/54,209.34 = 9,850.14/x
  3. Step 3: Cross multiply
    36,143.28x = 54,209.34 × 9,850.14
  4. Step 4: Simplify right side
    36,143.28x = 533,969,588.31
  5. Step 5: Solve for x
    x = 533,969,588.31/36,143.28
  6. Step 6: Final answer
    x = 14,773.69

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