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Finding the Fourth Proportional to 82,296.64, 123,234.12 and 56,961.04

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Solution

The fourth proportional to 82,296.64, 123,234.12 and 56,961.04 is: 85,295.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,296.64 : 123,234.12 = 56,961.04 : x
  2. Step 2: Convert to fraction form
    82,296.64/123,234.12 = 56,961.04/x
  3. Step 3: Cross multiply
    82,296.64x = 123,234.12 × 56,961.04
  4. Step 4: Simplify right side
    82,296.64x = 7,019,543,638.68
  5. Step 5: Solve for x
    x = 7,019,543,638.68/82,296.64
  6. Step 6: Final answer
    x = 85,295.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.