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Finding the Fourth Proportional to 83,499.82, 125,265.42 and 33,583.78

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Solution

The fourth proportional to 83,499.82, 125,265.42 and 33,583.78 is: 50,381.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,499.82 : 125,265.42 = 33,583.78 : x
  2. Step 2: Convert to fraction form
    83,499.82/125,265.42 = 33,583.78/x
  3. Step 3: Cross multiply
    83,499.82x = 125,265.42 × 33,583.78
  4. Step 4: Simplify right side
    83,499.82x = 4,206,886,306.89
  5. Step 5: Solve for x
    x = 4,206,886,306.89/83,499.82
  6. Step 6: Final answer
    x = 50,381.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.