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Finding the Fourth Proportional to 67,054.86, 100,582.17 and 17,134.97

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Solution

The fourth proportional to 67,054.86, 100,582.17 and 17,134.97 is: 25,702.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,054.86 : 100,582.17 = 17,134.97 : x
  2. Step 2: Convert to fraction form
    67,054.86/100,582.17 = 17,134.97/x
  3. Step 3: Cross multiply
    67,054.86x = 100,582.17 × 17,134.97
  4. Step 4: Simplify right side
    67,054.86x = 1,723,471,962.57
  5. Step 5: Solve for x
    x = 1,723,471,962.57/67,054.86
  6. Step 6: Final answer
    x = 25,702.42

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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.