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Finding the Fourth Proportional to 82,431.45, 123,605.78 and 40,314.69

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Solution

The fourth proportional to 82,431.45, 123,605.78 and 40,314.69 is: 60,451.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,431.45 : 123,605.78 = 40,314.69 : x
  2. Step 2: Convert to fraction form
    82,431.45/123,605.78 = 40,314.69/x
  3. Step 3: Cross multiply
    82,431.45x = 123,605.78 × 40,314.69
  4. Step 4: Simplify right side
    82,431.45x = 4,983,128,501.33
  5. Step 5: Solve for x
    x = 4,983,128,501.33/82,431.45
  6. Step 6: Final answer
    x = 60,451.79

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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.