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Finding the Fourth Proportional to 29,776.82, 41,092.04 and 17,201.57

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Solution

The fourth proportional to 29,776.82, 41,092.04 and 17,201.57 is: 23,738.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,776.82 : 41,092.04 = 17,201.57 : x
  2. Step 2: Convert to fraction form
    29,776.82/41,092.04 = 17,201.57/x
  3. Step 3: Cross multiply
    29,776.82x = 41,092.04 × 17,201.57
  4. Step 4: Simplify right side
    29,776.82x = 706,847,440.05
  5. Step 5: Solve for x
    x = 706,847,440.05/29,776.82
  6. Step 6: Final answer
    x = 23,738.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.