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Finding the Fourth Proportional to 31,185.36, 46,807.20 and 22,379.04

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Solution

The fourth proportional to 31,185.36, 46,807.20 and 22,379.04 is: 33,589.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,185.36 : 46,807.20 = 22,379.04 : x
  2. Step 2: Convert to fraction form
    31,185.36/46,807.20 = 22,379.04/x
  3. Step 3: Cross multiply
    31,185.36x = 46,807.20 × 22,379.04
  4. Step 4: Simplify right side
    31,185.36x = 1,047,500,201.09
  5. Step 5: Solve for x
    x = 1,047,500,201.09/31,185.36
  6. Step 6: Final answer
    x = 33,589.49

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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.