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Finding the Fourth Proportional to 89,482.50, 134,224.56 and 27,153

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Solution

The fourth proportional to 89,482.50, 134,224.56 and 27,153 is: 40,729.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,482.50 : 134,224.56 = 27,153 : x
  2. Step 2: Convert to fraction form
    89,482.50/134,224.56 = 27,153/x
  3. Step 3: Cross multiply
    89,482.50x = 134,224.56 × 27,153
  4. Step 4: Simplify right side
    89,482.50x = 3,644,599,477.68
  5. Step 5: Solve for x
    x = 3,644,599,477.68/89,482.50
  6. Step 6: Final answer
    x = 40,729.75

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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.