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Finding the Fourth Proportional to 82,428.62, 123,651.06 and 23,264.80

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Solution

The fourth proportional to 82,428.62, 123,651.06 and 23,264.80 is: 34,899.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,428.62 : 123,651.06 = 23,264.80 : x
  2. Step 2: Convert to fraction form
    82,428.62/123,651.06 = 23,264.80/x
  3. Step 3: Cross multiply
    82,428.62x = 123,651.06 × 23,264.80
  4. Step 4: Simplify right side
    82,428.62x = 2,876,717,180.69
  5. Step 5: Solve for x
    x = 2,876,717,180.69/82,428.62
  6. Step 6: Final answer
    x = 34,899.49

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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.