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Finding the Fourth Proportional to 54,699.53, 82,047.02 and 17,286.48

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Solution

The fourth proportional to 54,699.53, 82,047.02 and 17,286.48 is: 25,929.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,699.53 : 82,047.02 = 17,286.48 : x
  2. Step 2: Convert to fraction form
    54,699.53/82,047.02 = 17,286.48/x
  3. Step 3: Cross multiply
    54,699.53x = 82,047.02 × 17,286.48
  4. Step 4: Simplify right side
    54,699.53x = 1,418,304,083.86
  5. Step 5: Solve for x
    x = 1,418,304,083.86/54,699.53
  6. Step 6: Final answer
    x = 25,929.00

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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.