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Finding the Fourth Proportional to 36,181.80, 54,231 and 13,985.40

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Solution

The fourth proportional to 36,181.80, 54,231 and 13,985.40 is: 20,961.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,181.80 : 54,231 = 13,985.40 : x
  2. Step 2: Convert to fraction form
    36,181.80/54,231 = 13,985.40/x
  3. Step 3: Cross multiply
    36,181.80x = 54,231 × 13,985.40
  4. Step 4: Simplify right side
    36,181.80x = 758,442,227.40
  5. Step 5: Solve for x
    x = 758,442,227.40/36,181.80
  6. Step 6: Final answer
    x = 20,961.98

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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.