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Finding the Fourth Proportional to 82,365.62, 123,557.50 and 26,192.59

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Solution

The fourth proportional to 82,365.62, 123,557.50 and 26,192.59 is: 39,291.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,365.62 : 123,557.50 = 26,192.59 : x
  2. Step 2: Convert to fraction form
    82,365.62/123,557.50 = 26,192.59/x
  3. Step 3: Cross multiply
    82,365.62x = 123,557.50 × 26,192.59
  4. Step 4: Simplify right side
    82,365.62x = 3,236,290,321.14
  5. Step 5: Solve for x
    x = 3,236,290,321.14/82,365.62
  6. Step 6: Final answer
    x = 39,291.76

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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.