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Finding the Fourth Proportional to 54,717.69, 82,076.54 and 13,164.69

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Solution

The fourth proportional to 54,717.69, 82,076.54 and 13,164.69 is: 19,747.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,717.69 : 82,076.54 = 13,164.69 : x
  2. Step 2: Convert to fraction form
    54,717.69/82,076.54 = 13,164.69/x
  3. Step 3: Cross multiply
    54,717.69x = 82,076.54 × 13,164.69
  4. Step 4: Simplify right side
    54,717.69x = 1,080,512,139.55
  5. Step 5: Solve for x
    x = 1,080,512,139.55/54,717.69
  6. Step 6: Final answer
    x = 19,747.04

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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.