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Finding the Fourth Proportional to 82,085.76, 123,137.52 and 25,927.32

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Solution

The fourth proportional to 82,085.76, 123,137.52 and 25,927.32 is: 38,893.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,085.76 : 123,137.52 = 25,927.32 : x
  2. Step 2: Convert to fraction form
    82,085.76/123,137.52 = 25,927.32/x
  3. Step 3: Cross multiply
    82,085.76x = 123,137.52 × 25,927.32
  4. Step 4: Simplify right side
    82,085.76x = 3,192,625,885.05
  5. Step 5: Solve for x
    x = 3,192,625,885.05/82,085.76
  6. Step 6: Final answer
    x = 38,893.78

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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.