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Finding the Fourth Proportional to 38,604.94, 57,775.92 and 32,372

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Solution

The fourth proportional to 38,604.94, 57,775.92 and 32,372 is: 48,447.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,604.94 : 57,775.92 = 32,372 : x
  2. Step 2: Convert to fraction form
    38,604.94/57,775.92 = 32,372/x
  3. Step 3: Cross multiply
    38,604.94x = 57,775.92 × 32,372
  4. Step 4: Simplify right side
    38,604.94x = 1,870,322,082.24
  5. Step 5: Solve for x
    x = 1,870,322,082.24/38,604.94
  6. Step 6: Final answer
    x = 48,447.74

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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.