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Finding the Fourth Proportional to 30,727.50, 46,092.33 and 17,573.82

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Solution

The fourth proportional to 30,727.50, 46,092.33 and 17,573.82 is: 26,361.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,727.50 : 46,092.33 = 17,573.82 : x
  2. Step 2: Convert to fraction form
    30,727.50/46,092.33 = 17,573.82/x
  3. Step 3: Cross multiply
    30,727.50x = 46,092.33 × 17,573.82
  4. Step 4: Simplify right side
    30,727.50x = 810,018,310.80
  5. Step 5: Solve for x
    x = 810,018,310.80/30,727.50
  6. Step 6: Final answer
    x = 26,361.35

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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.