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Finding the Fourth Proportional to 82,716.48, 114,188.40 and 50,912.64

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Solution

The fourth proportional to 82,716.48, 114,188.40 and 50,912.64 is: 70,283.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,716.48 : 114,188.40 = 50,912.64 : x
  2. Step 2: Convert to fraction form
    82,716.48/114,188.40 = 50,912.64/x
  3. Step 3: Cross multiply
    82,716.48x = 114,188.40 × 50,912.64
  4. Step 4: Simplify right side
    82,716.48x = 5,813,632,901.38
  5. Step 5: Solve for x
    x = 5,813,632,901.38/82,716.48
  6. Step 6: Final answer
    x = 70,283.85

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Why These Related Problems?

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