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Finding the Fourth Proportional to 37,227.84, 55,842.48 and 13,849.56

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Solution

The fourth proportional to 37,227.84, 55,842.48 and 13,849.56 is: 20,774.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,227.84 : 55,842.48 = 13,849.56 : x
  2. Step 2: Convert to fraction form
    37,227.84/55,842.48 = 13,849.56/x
  3. Step 3: Cross multiply
    37,227.84x = 55,842.48 × 13,849.56
  4. Step 4: Simplify right side
    37,227.84x = 773,393,777.31
  5. Step 5: Solve for x
    x = 773,393,777.31/37,227.84
  6. Step 6: Final answer
    x = 20,774.61

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1.5x scale

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.