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Finding the Fourth Proportional to 54,653.44, 81,876.48 and 32,419.84

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Solution

The fourth proportional to 54,653.44, 81,876.48 and 32,419.84 is: 48,568.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,653.44 : 81,876.48 = 32,419.84 : x
  2. Step 2: Convert to fraction form
    54,653.44/81,876.48 = 32,419.84/x
  3. Step 3: Cross multiply
    54,653.44x = 81,876.48 × 32,419.84
  4. Step 4: Simplify right side
    54,653.44x = 2,654,422,381.36
  5. Step 5: Solve for x
    x = 2,654,422,381.36/54,653.44
  6. Step 6: Final answer
    x = 48,568.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.