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Finding the Fourth Proportional to 36,778.50, 55,167.89 and 9,076.50

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Solution

The fourth proportional to 36,778.50, 55,167.89 and 9,076.50 is: 13,614.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,778.50 : 55,167.89 = 9,076.50 : x
  2. Step 2: Convert to fraction form
    36,778.50/55,167.89 = 9,076.50/x
  3. Step 3: Cross multiply
    36,778.50x = 55,167.89 × 9,076.50
  4. Step 4: Simplify right side
    36,778.50x = 500,731,308.20
  5. Step 5: Solve for x
    x = 500,731,308.20/36,778.50
  6. Step 6: Final answer
    x = 13,614.78

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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.