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Finding the Fourth Proportional to 89,634.50, 134,451.76 and 27,305

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Solution

The fourth proportional to 89,634.50, 134,451.76 and 27,305 is: 40,957.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,634.50 : 134,451.76 = 27,305 : x
  2. Step 2: Convert to fraction form
    89,634.50/134,451.76 = 27,305/x
  3. Step 3: Cross multiply
    89,634.50x = 134,451.76 × 27,305
  4. Step 4: Simplify right side
    89,634.50x = 3,671,205,306.80
  5. Step 5: Solve for x
    x = 3,671,205,306.80/89,634.50
  6. Step 6: Final answer
    x = 40,957.50

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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.