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Finding the Fourth Proportional to 36,544, 54,817.80 and 11,920

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Solution

The fourth proportional to 36,544, 54,817.80 and 11,920 is: 17,880.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,544 : 54,817.80 = 11,920 : x
  2. Step 2: Convert to fraction form
    36,544/54,817.80 = 11,920/x
  3. Step 3: Cross multiply
    36,544x = 54,817.80 × 11,920
  4. Step 4: Simplify right side
    36,544x = 653,428,176
  5. Step 5: Solve for x
    x = 653,428,176/36,544
  6. Step 6: Final answer
    x = 17,880.59

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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.