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Finding the Fourth Proportional to 71,692.43, 98,935.22 and 39,859.43

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Solution

The fourth proportional to 71,692.43, 98,935.22 and 39,859.43 is: 55,005.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,692.43 : 98,935.22 = 39,859.43 : x
  2. Step 2: Convert to fraction form
    71,692.43/98,935.22 = 39,859.43/x
  3. Step 3: Cross multiply
    71,692.43x = 98,935.22 × 39,859.43
  4. Step 4: Simplify right side
    71,692.43x = 3,943,501,081.10
  5. Step 5: Solve for x
    x = 3,943,501,081.10/71,692.43
  6. Step 6: Final answer
    x = 55,005.83

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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.