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Finding the Fourth Proportional to 82,262.52, 123,393.74 and 26,858.52

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Solution

The fourth proportional to 82,262.52, 123,393.74 and 26,858.52 is: 40,287.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,262.52 : 123,393.74 = 26,858.52 : x
  2. Step 2: Convert to fraction form
    82,262.52/123,393.74 = 26,858.52/x
  3. Step 3: Cross multiply
    82,262.52x = 123,393.74 × 26,858.52
  4. Step 4: Simplify right side
    82,262.52x = 3,314,173,233.66
  5. Step 5: Solve for x
    x = 3,314,173,233.66/82,262.52
  6. Step 6: Final answer
    x = 40,287.77

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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.