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Finding the Fourth Proportional to 54,947.38, 75,827.38 and 29,796.90

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Solution

The fourth proportional to 54,947.38, 75,827.38 and 29,796.90 is: 41,119.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,947.38 : 75,827.38 = 29,796.90 : x
  2. Step 2: Convert to fraction form
    54,947.38/75,827.38 = 29,796.90/x
  3. Step 3: Cross multiply
    54,947.38x = 75,827.38 × 29,796.90
  4. Step 4: Simplify right side
    54,947.38x = 2,259,420,859.12
  5. Step 5: Solve for x
    x = 2,259,420,859.12/54,947.38
  6. Step 6: Final answer
    x = 41,119.72

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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.