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Finding the Fourth Proportional to 82,892.29, 114,391.37 and 45,166.54

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Solution

The fourth proportional to 82,892.29, 114,391.37 and 45,166.54 is: 62,329.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,892.29 : 114,391.37 = 45,166.54 : x
  2. Step 2: Convert to fraction form
    82,892.29/114,391.37 = 45,166.54/x
  3. Step 3: Cross multiply
    82,892.29x = 114,391.37 × 45,166.54
  4. Step 4: Simplify right side
    82,892.29x = 5,166,662,388.76
  5. Step 5: Solve for x
    x = 5,166,662,388.76/82,892.29
  6. Step 6: Final answer
    x = 62,329.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.