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Finding the Fourth Proportional to 50,857.92, 76,233 and 24,507

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Solution

The fourth proportional to 50,857.92, 76,233 and 24,507 is: 36,734.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,857.92 : 76,233 = 24,507 : x
  2. Step 2: Convert to fraction form
    50,857.92/76,233 = 24,507/x
  3. Step 3: Cross multiply
    50,857.92x = 76,233 × 24,507
  4. Step 4: Simplify right side
    50,857.92x = 1,868,242,131
  5. Step 5: Solve for x
    x = 1,868,242,131/50,857.92
  6. Step 6: Final answer
    x = 36,734.54

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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.