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Finding the Fourth Proportional to 67,082.92, 100,597.96 and 24,378.28

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Solution

The fourth proportional to 67,082.92, 100,597.96 and 24,378.28 is: 36,557.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,082.92 : 100,597.96 = 24,378.28 : x
  2. Step 2: Convert to fraction form
    67,082.92/100,597.96 = 24,378.28/x
  3. Step 3: Cross multiply
    67,082.92x = 100,597.96 × 24,378.28
  4. Step 4: Simplify right side
    67,082.92x = 2,452,405,236.31
  5. Step 5: Solve for x
    x = 2,452,405,236.31/67,082.92
  6. Step 6: Final answer
    x = 36,557.82

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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.