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Finding the Fourth Proportional to 57,450.96, 79,257.96 and 35,082

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Solution

The fourth proportional to 57,450.96, 79,257.96 and 35,082 is: 48,398.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,450.96 : 79,257.96 = 35,082 : x
  2. Step 2: Convert to fraction form
    57,450.96/79,257.96 = 35,082/x
  3. Step 3: Cross multiply
    57,450.96x = 79,257.96 × 35,082
  4. Step 4: Simplify right side
    57,450.96x = 2,780,527,752.72
  5. Step 5: Solve for x
    x = 2,780,527,752.72/57,450.96
  6. Step 6: Final answer
    x = 48,398.28

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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.