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Finding the Fourth Proportional to 72,907.68, 100,609.74 and 41,082.96

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Solution

The fourth proportional to 72,907.68, 100,609.74 and 41,082.96 is: 56,692.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,907.68 : 100,609.74 = 41,082.96 : x
  2. Step 2: Convert to fraction form
    72,907.68/100,609.74 = 41,082.96/x
  3. Step 3: Cross multiply
    72,907.68x = 100,609.74 × 41,082.96
  4. Step 4: Simplify right side
    72,907.68x = 4,133,345,924.03
  5. Step 5: Solve for x
    x = 4,133,345,924.03/72,907.68
  6. Step 6: Final answer
    x = 56,692.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.