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Finding the Fourth Proportional to 89,966.50, 134,949.75 and 27,637

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Solution

The fourth proportional to 89,966.50, 134,949.75 and 27,637 is: 41,455.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,966.50 : 134,949.75 = 27,637 : x
  2. Step 2: Convert to fraction form
    89,966.50/134,949.75 = 27,637/x
  3. Step 3: Cross multiply
    89,966.50x = 134,949.75 × 27,637
  4. Step 4: Simplify right side
    89,966.50x = 3,729,606,240.75
  5. Step 5: Solve for x
    x = 3,729,606,240.75/89,966.50
  6. Step 6: Final answer
    x = 41,455.50

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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.