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Finding the Fourth Proportional to 89,635.50, 134,453.26 and 27,306

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Solution

The fourth proportional to 89,635.50, 134,453.26 and 27,306 is: 40,959.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,635.50 : 134,453.26 = 27,306 : x
  2. Step 2: Convert to fraction form
    89,635.50/134,453.26 = 27,306/x
  3. Step 3: Cross multiply
    89,635.50x = 134,453.26 × 27,306
  4. Step 4: Simplify right side
    89,635.50x = 3,671,380,717.56
  5. Step 5: Solve for x
    x = 3,671,380,717.56/89,635.50
  6. Step 6: Final answer
    x = 40,959.00

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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.