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Finding the Fourth Proportional to 33,452.38, 46,221.67 and 32,255

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Solution

The fourth proportional to 33,452.38, 46,221.67 and 32,255 is: 44,567.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,452.38 : 46,221.67 = 32,255 : x
  2. Step 2: Convert to fraction form
    33,452.38/46,221.67 = 32,255/x
  3. Step 3: Cross multiply
    33,452.38x = 46,221.67 × 32,255
  4. Step 4: Simplify right side
    33,452.38x = 1,490,879,965.85
  5. Step 5: Solve for x
    x = 1,490,879,965.85/33,452.38
  6. Step 6: Final answer
    x = 44,567.23

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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.