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Finding the Fourth Proportional to 83,692.39, 115,494.98 and 50,158.39

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Solution

The fourth proportional to 83,692.39, 115,494.98 and 50,158.39 is: 69,218.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,692.39 : 115,494.98 = 50,158.39 : x
  2. Step 2: Convert to fraction form
    83,692.39/115,494.98 = 50,158.39/x
  3. Step 3: Cross multiply
    83,692.39x = 115,494.98 × 50,158.39
  4. Step 4: Simplify right side
    83,692.39x = 5,793,041,999.09
  5. Step 5: Solve for x
    x = 5,793,041,999.09/83,692.39
  6. Step 6: Final answer
    x = 69,218.26

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