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Finding the Fourth Proportional to 29,611.38, 40,863.36 and 16,182.59

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Solution

The fourth proportional to 29,611.38, 40,863.36 and 16,182.59 is: 22,331.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,611.38 : 40,863.36 = 16,182.59 : x
  2. Step 2: Convert to fraction form
    29,611.38/40,863.36 = 16,182.59/x
  3. Step 3: Cross multiply
    29,611.38x = 40,863.36 × 16,182.59
  4. Step 4: Simplify right side
    29,611.38x = 661,275,000.90
  5. Step 5: Solve for x
    x = 661,275,000.90/29,611.38
  6. Step 6: Final answer
    x = 22,331.79

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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.