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Finding the Fourth Proportional to 36,584, 54,884.64 and 11,960

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Solution

The fourth proportional to 36,584, 54,884.64 and 11,960 is: 17,942.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,584 : 54,884.64 = 11,960 : x
  2. Step 2: Convert to fraction form
    36,584/54,884.64 = 11,960/x
  3. Step 3: Cross multiply
    36,584x = 54,884.64 × 11,960
  4. Step 4: Simplify right side
    36,584x = 656,420,294.40
  5. Step 5: Solve for x
    x = 656,420,294.40/36,584
  6. Step 6: Final answer
    x = 17,942.82

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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.