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Finding the Fourth Proportional to 38,046.69, 57,072.78 and 11,748.03

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Solution

The fourth proportional to 38,046.69, 57,072.78 and 11,748.03 is: 17,622.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,046.69 : 57,072.78 = 11,748.03 : x
  2. Step 2: Convert to fraction form
    38,046.69/57,072.78 = 11,748.03/x
  3. Step 3: Cross multiply
    38,046.69x = 57,072.78 × 11,748.03
  4. Step 4: Simplify right side
    38,046.69x = 670,492,731.62
  5. Step 5: Solve for x
    x = 670,492,731.62/38,046.69
  6. Step 6: Final answer
    x = 17,622.89

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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.