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Finding the Fourth Proportional to 83,704.50, 125,575.26 and 27,561.90

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Solution

The fourth proportional to 83,704.50, 125,575.26 and 27,561.90 is: 41,348.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,704.50 : 125,575.26 = 27,561.90 : x
  2. Step 2: Convert to fraction form
    83,704.50/125,575.26 = 27,561.90/x
  3. Step 3: Cross multiply
    83,704.50x = 125,575.26 × 27,561.90
  4. Step 4: Simplify right side
    83,704.50x = 3,461,092,758.59
  5. Step 5: Solve for x
    x = 3,461,092,758.59/83,704.50
  6. Step 6: Final answer
    x = 41,348.94

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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.