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Finding the Fourth Proportional to 89,257.88, 133,882.84 and 30,093.32

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Solution

The fourth proportional to 89,257.88, 133,882.84 and 30,093.32 is: 45,138.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,257.88 : 133,882.84 = 30,093.32 : x
  2. Step 2: Convert to fraction form
    89,257.88/133,882.84 = 30,093.32/x
  3. Step 3: Cross multiply
    89,257.88x = 133,882.84 × 30,093.32
  4. Step 4: Simplify right side
    89,257.88x = 4,028,979,146.63
  5. Step 5: Solve for x
    x = 4,028,979,146.63/89,257.88
  6. Step 6: Final answer
    x = 45,138.64

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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.