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Finding the Fourth Proportional to 57,316.67, 86,022.39 and 29,257.46

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Solution

The fourth proportional to 57,316.67, 86,022.39 and 29,257.46 is: 43,910.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,316.67 : 86,022.39 = 29,257.46 : x
  2. Step 2: Convert to fraction form
    57,316.67/86,022.39 = 29,257.46/x
  3. Step 3: Cross multiply
    57,316.67x = 86,022.39 × 29,257.46
  4. Step 4: Simplify right side
    57,316.67x = 2,516,796,634.53
  5. Step 5: Solve for x
    x = 2,516,796,634.53/57,316.67
  6. Step 6: Final answer
    x = 43,910.38

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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.