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Finding the Fourth Proportional to 82,624.24, 123,914.22 and 35,866

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Solution

The fourth proportional to 82,624.24, 123,914.22 and 35,866 is: 53,789.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,624.24 : 123,914.22 = 35,866 : x
  2. Step 2: Convert to fraction form
    82,624.24/123,914.22 = 35,866/x
  3. Step 3: Cross multiply
    82,624.24x = 123,914.22 × 35,866
  4. Step 4: Simplify right side
    82,624.24x = 4,444,307,414.52
  5. Step 5: Solve for x
    x = 4,444,307,414.52/82,624.24
  6. Step 6: Final answer
    x = 53,789.39

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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.