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Finding the Fourth Proportional to 82,371.98, 123,556.62 and 26,215.50

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Solution

The fourth proportional to 82,371.98, 123,556.62 and 26,215.50 is: 39,322.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,371.98 : 123,556.62 = 26,215.50 : x
  2. Step 2: Convert to fraction form
    82,371.98/123,556.62 = 26,215.50/x
  3. Step 3: Cross multiply
    82,371.98x = 123,556.62 × 26,215.50
  4. Step 4: Simplify right side
    82,371.98x = 3,239,098,571.61
  5. Step 5: Solve for x
    x = 3,239,098,571.61/82,371.98
  6. Step 6: Final answer
    x = 39,322.82

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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.