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Finding the Fourth Proportional to 82,659.74, 123,997.82 and 26,485.74

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Solution

The fourth proportional to 82,659.74, 123,997.82 and 26,485.74 is: 39,731.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,659.74 : 123,997.82 = 26,485.74 : x
  2. Step 2: Convert to fraction form
    82,659.74/123,997.82 = 26,485.74/x
  3. Step 3: Cross multiply
    82,659.74x = 123,997.82 × 26,485.74
  4. Step 4: Simplify right side
    82,659.74x = 3,284,173,888.66
  5. Step 5: Solve for x
    x = 3,284,173,888.66/82,659.74
  6. Step 6: Final answer
    x = 39,731.24

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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.