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Finding the Fourth Proportional to 33,454.92, 46,151.46 and 28,147.80

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Solution

The fourth proportional to 33,454.92, 46,151.46 and 28,147.80 is: 38,830.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,454.92 : 46,151.46 = 28,147.80 : x
  2. Step 2: Convert to fraction form
    33,454.92/46,151.46 = 28,147.80/x
  3. Step 3: Cross multiply
    33,454.92x = 46,151.46 × 28,147.80
  4. Step 4: Simplify right side
    33,454.92x = 1,299,062,065.79
  5. Step 5: Solve for x
    x = 1,299,062,065.79/33,454.92
  6. Step 6: Final answer
    x = 38,830.22

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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.