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Finding the Fourth Proportional to 70,826.62, 106,165.56 and 35,692.60

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Solution

The fourth proportional to 70,826.62, 106,165.56 and 35,692.60 is: 53,501.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,826.62 : 106,165.56 = 35,692.60 : x
  2. Step 2: Convert to fraction form
    70,826.62/106,165.56 = 35,692.60/x
  3. Step 3: Cross multiply
    70,826.62x = 106,165.56 × 35,692.60
  4. Step 4: Simplify right side
    70,826.62x = 3,789,324,866.86
  5. Step 5: Solve for x
    x = 3,789,324,866.86/70,826.62
  6. Step 6: Final answer
    x = 53,501.42

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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.