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Finding the Fourth Proportional to 54,299.26, 74,932.88 and 33,078.53

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Solution

The fourth proportional to 54,299.26, 74,932.88 and 33,078.53 is: 45,648.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,299.26 : 74,932.88 = 33,078.53 : x
  2. Step 2: Convert to fraction form
    54,299.26/74,932.88 = 33,078.53/x
  3. Step 3: Cross multiply
    54,299.26x = 74,932.88 × 33,078.53
  4. Step 4: Simplify right side
    54,299.26x = 2,478,669,305.58
  5. Step 5: Solve for x
    x = 2,478,669,305.58/54,299.26
  6. Step 6: Final answer
    x = 45,648.31

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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.