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Finding the Fourth Proportional to 82,349.11, 123,530.96 and 23,185.29

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Solution

The fourth proportional to 82,349.11, 123,530.96 and 23,185.29 is: 34,779.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,349.11 : 123,530.96 = 23,185.29 : x
  2. Step 2: Convert to fraction form
    82,349.11/123,530.96 = 23,185.29/x
  3. Step 3: Cross multiply
    82,349.11x = 123,530.96 × 23,185.29
  4. Step 4: Simplify right side
    82,349.11x = 2,864,101,015.65
  5. Step 5: Solve for x
    x = 2,864,101,015.65/82,349.11
  6. Step 6: Final answer
    x = 34,779.99

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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.