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Finding the Fourth Proportional to 54,228, 74,830.52 and 33,004.92

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Solution

The fourth proportional to 54,228, 74,830.52 and 33,004.92 is: 45,544.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,228 : 74,830.52 = 33,004.92 : x
  2. Step 2: Convert to fraction form
    54,228/74,830.52 = 33,004.92/x
  3. Step 3: Cross multiply
    54,228x = 74,830.52 × 33,004.92
  4. Step 4: Simplify right side
    54,228x = 2,469,775,326.16
  5. Step 5: Solve for x
    x = 2,469,775,326.16/54,228
  6. Step 6: Final answer
    x = 45,544.28

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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.