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Finding the Fourth Proportional to 82,539.96, 123,804.27 and 38,202.18

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Solution

The fourth proportional to 82,539.96, 123,804.27 and 38,202.18 is: 57,300.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,539.96 : 123,804.27 = 38,202.18 : x
  2. Step 2: Convert to fraction form
    82,539.96/123,804.27 = 38,202.18/x
  3. Step 3: Cross multiply
    82,539.96x = 123,804.27 × 38,202.18
  4. Step 4: Simplify right side
    82,539.96x = 4,729,593,007.31
  5. Step 5: Solve for x
    x = 4,729,593,007.31/82,539.96
  6. Step 6: Final answer
    x = 57,300.65

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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.