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Finding the Fourth Proportional to 36,506.55, 54,765.22 and 11,540.94

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Solution

The fourth proportional to 36,506.55, 54,765.22 and 11,540.94 is: 17,313.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,506.55 : 54,765.22 = 11,540.94 : x
  2. Step 2: Convert to fraction form
    36,506.55/54,765.22 = 11,540.94/x
  3. Step 3: Cross multiply
    36,506.55x = 54,765.22 × 11,540.94
  4. Step 4: Simplify right side
    36,506.55x = 632,042,118.11
  5. Step 5: Solve for x
    x = 632,042,118.11/36,506.55
  6. Step 6: Final answer
    x = 17,313.12

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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.