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Finding the Fourth Proportional to 82,805, 114,299.70 and 49,270.28

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Solution

The fourth proportional to 82,805, 114,299.70 and 49,270.28 is: 68,010.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,805 : 114,299.70 = 49,270.28 : x
  2. Step 2: Convert to fraction form
    82,805/114,299.70 = 49,270.28/x
  3. Step 3: Cross multiply
    82,805x = 114,299.70 × 49,270.28
  4. Step 4: Simplify right side
    82,805x = 5,631,578,222.92
  5. Step 5: Solve for x
    x = 5,631,578,222.92/82,805
  6. Step 6: Final answer
    x = 68,010.12

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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.