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Finding the Fourth Proportional to 75,893.49, 113,819.45 and 28,504.92

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Solution

The fourth proportional to 75,893.49, 113,819.45 and 28,504.92 is: 42,749.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,893.49 : 113,819.45 = 28,504.92 : x
  2. Step 2: Convert to fraction form
    75,893.49/113,819.45 = 28,504.92/x
  3. Step 3: Cross multiply
    75,893.49x = 113,819.45 × 28,504.92
  4. Step 4: Simplify right side
    75,893.49x = 3,244,414,316.69
  5. Step 5: Solve for x
    x = 3,244,414,316.69/75,893.49
  6. Step 6: Final answer
    x = 42,749.57

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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.