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Finding the Fourth Proportional to 38,049.82, 57,080.87 and 11,748.40

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Solution

The fourth proportional to 38,049.82, 57,080.87 and 11,748.40 is: 17,624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,049.82 : 57,080.87 = 11,748.40 : x
  2. Step 2: Convert to fraction form
    38,049.82/57,080.87 = 11,748.40/x
  3. Step 3: Cross multiply
    38,049.82x = 57,080.87 × 11,748.40
  4. Step 4: Simplify right side
    38,049.82x = 670,608,893.11
  5. Step 5: Solve for x
    x = 670,608,893.11/38,049.82
  6. Step 6: Final answer
    x = 17,624.50

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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.