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Finding the Fourth Proportional to 93,692.96, 140,311.92 and 51,508.64

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Solution

The fourth proportional to 93,692.96, 140,311.92 and 51,508.64 is: 77,137.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,692.96 : 140,311.92 = 51,508.64 : x
  2. Step 2: Convert to fraction form
    93,692.96/140,311.92 = 51,508.64/x
  3. Step 3: Cross multiply
    93,692.96x = 140,311.92 × 51,508.64
  4. Step 4: Simplify right side
    93,692.96x = 7,227,276,174.99
  5. Step 5: Solve for x
    x = 7,227,276,174.99/93,692.96
  6. Step 6: Final answer
    x = 77,137.88

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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.