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Finding the Fourth Proportional to 82,205.64, 123,279.28 and 29,601

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Solution

The fourth proportional to 82,205.64, 123,279.28 and 29,601 is: 44,390.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,205.64 : 123,279.28 = 29,601 : x
  2. Step 2: Convert to fraction form
    82,205.64/123,279.28 = 29,601/x
  3. Step 3: Cross multiply
    82,205.64x = 123,279.28 × 29,601
  4. Step 4: Simplify right side
    82,205.64x = 3,649,189,967.28
  5. Step 5: Solve for x
    x = 3,649,189,967.28/82,205.64
  6. Step 6: Final answer
    x = 44,390.99

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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.