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Finding the Fourth Proportional to 36,539.01, 54,775.62 and 13,149

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Solution

The fourth proportional to 36,539.01, 54,775.62 and 13,149 is: 19,711.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,539.01 : 54,775.62 = 13,149 : x
  2. Step 2: Convert to fraction form
    36,539.01/54,775.62 = 13,149/x
  3. Step 3: Cross multiply
    36,539.01x = 54,775.62 × 13,149
  4. Step 4: Simplify right side
    36,539.01x = 720,244,627.38
  5. Step 5: Solve for x
    x = 720,244,627.38/36,539.01
  6. Step 6: Final answer
    x = 19,711.66

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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.