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Finding the Fourth Proportional to 89,494, 134,253.96 and 27,164.56

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Solution

The fourth proportional to 89,494, 134,253.96 and 27,164.56 is: 40,750.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,494 : 134,253.96 = 27,164.56 : x
  2. Step 2: Convert to fraction form
    89,494/134,253.96 = 27,164.56/x
  3. Step 3: Cross multiply
    89,494x = 134,253.96 × 27,164.56
  4. Step 4: Simplify right side
    89,494x = 3,646,949,751.66
  5. Step 5: Solve for x
    x = 3,646,949,751.66/89,494
  6. Step 6: Final answer
    x = 40,750.77

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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.