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Finding the Fourth Proportional to 36,542, 54,814.80 and 11,918

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Solution

The fourth proportional to 36,542, 54,814.80 and 11,918 is: 17,877.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,542 : 54,814.80 = 11,918 : x
  2. Step 2: Convert to fraction form
    36,542/54,814.80 = 11,918/x
  3. Step 3: Cross multiply
    36,542x = 54,814.80 × 11,918
  4. Step 4: Simplify right side
    36,542x = 653,282,786.40
  5. Step 5: Solve for x
    x = 653,282,786.40/36,542
  6. Step 6: Final answer
    x = 17,877.59

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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.