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Finding the Fourth Proportional to 82,141.16, 123,233.67 and 25,982.37

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Solution

The fourth proportional to 82,141.16, 123,233.67 and 25,982.37 is: 38,980.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,141.16 : 123,233.67 = 25,982.37 : x
  2. Step 2: Convert to fraction form
    82,141.16/123,233.67 = 25,982.37/x
  3. Step 3: Cross multiply
    82,141.16x = 123,233.67 × 25,982.37
  4. Step 4: Simplify right side
    82,141.16x = 3,201,902,810.40
  5. Step 5: Solve for x
    x = 3,201,902,810.40/82,141.16
  6. Step 6: Final answer
    x = 38,980.49

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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.