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Finding the Fourth Proportional to 67,794.82, 101,698.10 and 17,874.52

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Solution

The fourth proportional to 67,794.82, 101,698.10 and 17,874.52 is: 26,813.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,794.82 : 101,698.10 = 17,874.52 : x
  2. Step 2: Convert to fraction form
    67,794.82/101,698.10 = 17,874.52/x
  3. Step 3: Cross multiply
    67,794.82x = 101,698.10 × 17,874.52
  4. Step 4: Simplify right side
    67,794.82x = 1,817,804,722.41
  5. Step 5: Solve for x
    x = 1,817,804,722.41/67,794.82
  6. Step 6: Final answer
    x = 26,813.33

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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.