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Finding the Fourth Proportional to 82,197.05, 123,221.52 and 29,569.50

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Solution

The fourth proportional to 82,197.05, 123,221.52 and 29,569.50 is: 44,327.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,197.05 : 123,221.52 = 29,569.50 : x
  2. Step 2: Convert to fraction form
    82,197.05/123,221.52 = 29,569.50/x
  3. Step 3: Cross multiply
    82,197.05x = 123,221.52 × 29,569.50
  4. Step 4: Simplify right side
    82,197.05x = 3,643,598,735.64
  5. Step 5: Solve for x
    x = 3,643,598,735.64/82,197.05
  6. Step 6: Final answer
    x = 44,327.61

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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.