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Finding the Fourth Proportional to 82,448.30, 123,672.45 and 20,118.80

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Solution

The fourth proportional to 82,448.30, 123,672.45 and 20,118.80 is: 30,178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,448.30 : 123,672.45 = 20,118.80 : x
  2. Step 2: Convert to fraction form
    82,448.30/123,672.45 = 20,118.80/x
  3. Step 3: Cross multiply
    82,448.30x = 123,672.45 × 20,118.80
  4. Step 4: Simplify right side
    82,448.30x = 2,488,141,287.06
  5. Step 5: Solve for x
    x = 2,488,141,287.06/82,448.30
  6. Step 6: Final answer
    x = 30,178.20

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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.