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Finding the Fourth Proportional to 27,857.67, 41,737.83 and 23,207.59

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Solution

The fourth proportional to 27,857.67, 41,737.83 and 23,207.59 is: 34,770.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,857.67 : 41,737.83 = 23,207.59 : x
  2. Step 2: Convert to fraction form
    27,857.67/41,737.83 = 23,207.59/x
  3. Step 3: Cross multiply
    27,857.67x = 41,737.83 × 23,207.59
  4. Step 4: Simplify right side
    27,857.67x = 968,634,446.13
  5. Step 5: Solve for x
    x = 968,634,446.13/27,857.67
  6. Step 6: Final answer
    x = 34,770.83

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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.