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Finding the Fourth Proportional to 36,222.26, 54,349 and 19,594

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Solution

The fourth proportional to 36,222.26, 54,349 and 19,594 is: 29,399.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,222.26 : 54,349 = 19,594 : x
  2. Step 2: Convert to fraction form
    36,222.26/54,349 = 19,594/x
  3. Step 3: Cross multiply
    36,222.26x = 54,349 × 19,594
  4. Step 4: Simplify right side
    36,222.26x = 1,064,914,306
  5. Step 5: Solve for x
    x = 1,064,914,306/36,222.26
  6. Step 6: Final answer
    x = 29,399.44

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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.