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Finding the Fourth Proportional to 82,606.50, 114,006.69 and 49,072.50

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Solution

The fourth proportional to 82,606.50, 114,006.69 and 49,072.50 is: 67,725.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,606.50 : 114,006.69 = 49,072.50 : x
  2. Step 2: Convert to fraction form
    82,606.50/114,006.69 = 49,072.50/x
  3. Step 3: Cross multiply
    82,606.50x = 114,006.69 × 49,072.50
  4. Step 4: Simplify right side
    82,606.50x = 5,594,593,295.03
  5. Step 5: Solve for x
    x = 5,594,593,295.03/82,606.50
  6. Step 6: Final answer
    x = 67,725.82

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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.