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Finding the Fourth Proportional to 33,589.24, 46,311.42 and 29,053.24

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Solution

The fourth proportional to 33,589.24, 46,311.42 and 29,053.24 is: 40,057.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,589.24 : 46,311.42 = 29,053.24 : x
  2. Step 2: Convert to fraction form
    33,589.24/46,311.42 = 29,053.24/x
  3. Step 3: Cross multiply
    33,589.24x = 46,311.42 × 29,053.24
  4. Step 4: Simplify right side
    33,589.24x = 1,345,496,800.00
  5. Step 5: Solve for x
    x = 1,345,496,800.00/33,589.24
  6. Step 6: Final answer
    x = 40,057.38

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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.