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Finding the Fourth Proportional to 89,507.75, 134,251.61 and 22,949.44

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Solution

The fourth proportional to 89,507.75, 134,251.61 and 22,949.44 is: 34,421.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,507.75 : 134,251.61 = 22,949.44 : x
  2. Step 2: Convert to fraction form
    89,507.75/134,251.61 = 22,949.44/x
  3. Step 3: Cross multiply
    89,507.75x = 134,251.61 × 22,949.44
  4. Step 4: Simplify right side
    89,507.75x = 3,080,998,818.22
  5. Step 5: Solve for x
    x = 3,080,998,818.22/89,507.75
  6. Step 6: Final answer
    x = 34,421.59

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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.