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Finding the Fourth Proportional to 33,692.32, 46,494.60 and 18,584.66

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Solution

The fourth proportional to 33,692.32, 46,494.60 and 18,584.66 is: 25,646.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,692.32 : 46,494.60 = 18,584.66 : x
  2. Step 2: Convert to fraction form
    33,692.32/46,494.60 = 18,584.66/x
  3. Step 3: Cross multiply
    33,692.32x = 46,494.60 × 18,584.66
  4. Step 4: Simplify right side
    33,692.32x = 864,086,332.84
  5. Step 5: Solve for x
    x = 864,086,332.84/33,692.32
  6. Step 6: Final answer
    x = 25,646.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.