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Finding the Fourth Proportional to 54,590.76, 75,330 and 33,391.44

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Solution

The fourth proportional to 54,590.76, 75,330 and 33,391.44 is: 46,076.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,590.76 : 75,330 = 33,391.44 : x
  2. Step 2: Convert to fraction form
    54,590.76/75,330 = 33,391.44/x
  3. Step 3: Cross multiply
    54,590.76x = 75,330 × 33,391.44
  4. Step 4: Simplify right side
    54,590.76x = 2,515,377,175.20
  5. Step 5: Solve for x
    x = 2,515,377,175.20/54,590.76
  6. Step 6: Final answer
    x = 46,076.98

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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.