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Finding the Fourth Proportional to 54,053.38, 81,080.07 and 17,114.50

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Solution

The fourth proportional to 54,053.38, 81,080.07 and 17,114.50 is: 25,671.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,053.38 : 81,080.07 = 17,114.50 : x
  2. Step 2: Convert to fraction form
    54,053.38/81,080.07 = 17,114.50/x
  3. Step 3: Cross multiply
    54,053.38x = 81,080.07 × 17,114.50
  4. Step 4: Simplify right side
    54,053.38x = 1,387,644,858.02
  5. Step 5: Solve for x
    x = 1,387,644,858.02/54,053.38
  6. Step 6: Final answer
    x = 25,671.75

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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.