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Finding the Fourth Proportional to 75,640, 113,511.84 and 26,392

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Solution

The fourth proportional to 75,640, 113,511.84 and 26,392 is: 39,606.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,640 : 113,511.84 = 26,392 : x
  2. Step 2: Convert to fraction form
    75,640/113,511.84 = 26,392/x
  3. Step 3: Cross multiply
    75,640x = 113,511.84 × 26,392
  4. Step 4: Simplify right side
    75,640x = 2,995,804,481.28
  5. Step 5: Solve for x
    x = 2,995,804,481.28/75,640
  6. Step 6: Final answer
    x = 39,606.09

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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.