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Finding the Fourth Proportional to 36,429, 54,638.71 and 11,469.18

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Solution

The fourth proportional to 36,429, 54,638.71 and 11,469.18 is: 17,202.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,429 : 54,638.71 = 11,469.18 : x
  2. Step 2: Convert to fraction form
    36,429/54,638.71 = 11,469.18/x
  3. Step 3: Cross multiply
    36,429x = 54,638.71 × 11,469.18
  4. Step 4: Simplify right side
    36,429x = 626,661,199.96
  5. Step 5: Solve for x
    x = 626,661,199.96/36,429
  6. Step 6: Final answer
    x = 17,202.26

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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.