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Finding the Fourth Proportional to 82,209.65, 123,304.82 and 23,050.08

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Solution

The fourth proportional to 82,209.65, 123,304.82 and 23,050.08 is: 34,572.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,209.65 : 123,304.82 = 23,050.08 : x
  2. Step 2: Convert to fraction form
    82,209.65/123,304.82 = 23,050.08/x
  3. Step 3: Cross multiply
    82,209.65x = 123,304.82 × 23,050.08
  4. Step 4: Simplify right side
    82,209.65x = 2,842,185,850.14
  5. Step 5: Solve for x
    x = 2,842,185,850.14/82,209.65
  6. Step 6: Final answer
    x = 34,572.41

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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.