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Finding the Fourth Proportional to 36,407.26, 54,620 and 11,446.30

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Solution

The fourth proportional to 36,407.26, 54,620 and 11,446.30 is: 17,172.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,407.26 : 54,620 = 11,446.30 : x
  2. Step 2: Convert to fraction form
    36,407.26/54,620 = 11,446.30/x
  3. Step 3: Cross multiply
    36,407.26x = 54,620 × 11,446.30
  4. Step 4: Simplify right side
    36,407.26x = 625,196,906
  5. Step 5: Solve for x
    x = 625,196,906/36,407.26
  6. Step 6: Final answer
    x = 17,172.31

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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.