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Finding the Fourth Proportional to 54,305.62, 74,978.37 and 33,918.82

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Solution

The fourth proportional to 54,305.62, 74,978.37 and 33,918.82 is: 46,830.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,305.62 : 74,978.37 = 33,918.82 : x
  2. Step 2: Convert to fraction form
    54,305.62/74,978.37 = 33,918.82/x
  3. Step 3: Cross multiply
    54,305.62x = 74,978.37 × 33,918.82
  4. Step 4: Simplify right side
    54,305.62x = 2,543,177,835.92
  5. Step 5: Solve for x
    x = 2,543,177,835.92/54,305.62
  6. Step 6: Final answer
    x = 46,830.84

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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.