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Finding the Fourth Proportional to 27,757.02, 38,305 and 15,181.50

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Solution

The fourth proportional to 27,757.02, 38,305 and 15,181.50 is: 20,950.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,757.02 : 38,305 = 15,181.50 : x
  2. Step 2: Convert to fraction form
    27,757.02/38,305 = 15,181.50/x
  3. Step 3: Cross multiply
    27,757.02x = 38,305 × 15,181.50
  4. Step 4: Simplify right side
    27,757.02x = 581,527,357.50
  5. Step 5: Solve for x
    x = 581,527,357.50/27,757.02
  6. Step 6: Final answer
    x = 20,950.64

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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.