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Finding the Fourth Proportional to 67,833.29, 101,712.66 and 53,882.66

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Solution

The fourth proportional to 67,833.29, 101,712.66 and 53,882.66 is: 80,794.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,833.29 : 101,712.66 = 53,882.66 : x
  2. Step 2: Convert to fraction form
    67,833.29/101,712.66 = 53,882.66/x
  3. Step 3: Cross multiply
    67,833.29x = 101,712.66 × 53,882.66
  4. Step 4: Simplify right side
    67,833.29x = 5,480,548,167.91
  5. Step 5: Solve for x
    x = 5,480,548,167.91/67,833.29
  6. Step 6: Final answer
    x = 80,794.38

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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.