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Finding the Fourth Proportional to 82,198.05, 123,223.02 and 29,570.50

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Solution

The fourth proportional to 82,198.05, 123,223.02 and 29,570.50 is: 44,329.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,198.05 : 123,223.02 = 29,570.50 : x
  2. Step 2: Convert to fraction form
    82,198.05/123,223.02 = 29,570.50/x
  3. Step 3: Cross multiply
    82,198.05x = 123,223.02 × 29,570.50
  4. Step 4: Simplify right side
    82,198.05x = 3,643,766,312.91
  5. Step 5: Solve for x
    x = 3,643,766,312.91/82,198.05
  6. Step 6: Final answer
    x = 44,329.11

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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.