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Finding the Fourth Proportional to 36,266.26, 54,387.87 and 11,636.50

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Solution

The fourth proportional to 36,266.26, 54,387.87 and 11,636.50 is: 17,451.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,266.26 : 54,387.87 = 11,636.50 : x
  2. Step 2: Convert to fraction form
    36,266.26/54,387.87 = 11,636.50/x
  3. Step 3: Cross multiply
    36,266.26x = 54,387.87 × 11,636.50
  4. Step 4: Simplify right side
    36,266.26x = 632,884,449.26
  5. Step 5: Solve for x
    x = 632,884,449.26/36,266.26
  6. Step 6: Final answer
    x = 17,451.05

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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.