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Finding the Fourth Proportional to 75,893.24, 113,819.08 and 28,504.67

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Solution

The fourth proportional to 75,893.24, 113,819.08 and 28,504.67 is: 42,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,893.24 : 113,819.08 = 28,504.67 : x
  2. Step 2: Convert to fraction form
    75,893.24/113,819.08 = 28,504.67/x
  3. Step 3: Cross multiply
    75,893.24x = 113,819.08 × 28,504.67
  4. Step 4: Simplify right side
    75,893.24x = 3,244,375,172.58
  5. Step 5: Solve for x
    x = 3,244,375,172.58/75,893.24
  6. Step 6: Final answer
    x = 42,749.20

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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.