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Finding the Fourth Proportional to 33,174, 45,780.12 and 19,926

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Solution

The fourth proportional to 33,174, 45,780.12 and 19,926 is: 27,497.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,174 : 45,780.12 = 19,926 : x
  2. Step 2: Convert to fraction form
    33,174/45,780.12 = 19,926/x
  3. Step 3: Cross multiply
    33,174x = 45,780.12 × 19,926
  4. Step 4: Simplify right side
    33,174x = 912,214,671.12
  5. Step 5: Solve for x
    x = 912,214,671.12/33,174
  6. Step 6: Final answer
    x = 27,497.88

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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.